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Finding the Fourth Proportional to 9,694,407.10, 14,541,610.65 and 8,201,415.10

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Solution

The fourth proportional to 9,694,407.10, 14,541,610.65 and 8,201,415.10 is: 12,302,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694,407.10 : 14,541,610.65 = 8,201,415.10 : x
  2. Step 2: Convert to fraction form
    9,694,407.10/14,541,610.65 = 8,201,415.10/x
  3. Step 3: Cross multiply
    9,694,407.10x = 14,541,610.65 × 8,201,415.10
  4. Step 4: Simplify right side
    9,694,407.10x = 119,261,785,163,230.81
  5. Step 5: Solve for x
    x = 119,261,785,163,230.81/9,694,407.10
  6. Step 6: Final answer
    x = 12,302,122.65

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.