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Finding the Fourth Proportional to 9,407.53, 12,969.68 and 6,044.61

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Solution

The fourth proportional to 9,407.53, 12,969.68 and 6,044.61 is: 8,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.53 : 12,969.68 = 6,044.61 : x
  2. Step 2: Convert to fraction form
    9,407.53/12,969.68 = 6,044.61/x
  3. Step 3: Cross multiply
    9,407.53x = 12,969.68 × 6,044.61
  4. Step 4: Simplify right side
    9,407.53x = 78,396,657.42
  5. Step 5: Solve for x
    x = 78,396,657.42/9,407.53
  6. Step 6: Final answer
    x = 8,333.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.