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Finding the Fourth Proportional to 7,024.32, 9,691.92 and 4,039.20

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Solution

The fourth proportional to 7,024.32, 9,691.92 and 4,039.20 is: 5,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.32 : 9,691.92 = 4,039.20 : x
  2. Step 2: Convert to fraction form
    7,024.32/9,691.92 = 4,039.20/x
  3. Step 3: Cross multiply
    7,024.32x = 9,691.92 × 4,039.20
  4. Step 4: Simplify right side
    7,024.32x = 39,147,603.26
  5. Step 5: Solve for x
    x = 39,147,603.26/7,024.32
  6. Step 6: Final answer
    x = 5,573.15

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