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Finding the Fourth Proportional to 9,371.43, 14,059.50 and 7,708.32

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Solution

The fourth proportional to 9,371.43, 14,059.50 and 7,708.32 is: 11,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.43 : 14,059.50 = 7,708.32 : x
  2. Step 2: Convert to fraction form
    9,371.43/14,059.50 = 7,708.32/x
  3. Step 3: Cross multiply
    9,371.43x = 14,059.50 × 7,708.32
  4. Step 4: Simplify right side
    9,371.43x = 108,375,125.04
  5. Step 5: Solve for x
    x = 108,375,125.04/9,371.43
  6. Step 6: Final answer
    x = 11,564.42

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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.