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Finding the Fourth Proportional to 9,914.70, 14,851.32 and 5,953.38

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Solution

The fourth proportional to 9,914.70, 14,851.32 and 5,953.38 is: 8,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.70 : 14,851.32 = 5,953.38 : x
  2. Step 2: Convert to fraction form
    9,914.70/14,851.32 = 5,953.38/x
  3. Step 3: Cross multiply
    9,914.70x = 14,851.32 × 5,953.38
  4. Step 4: Simplify right side
    9,914.70x = 88,415,551.46
  5. Step 5: Solve for x
    x = 88,415,551.46/9,914.70
  6. Step 6: Final answer
    x = 8,917.62

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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.