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Finding the Fourth Proportional to 7,132.72, 9,842.49 and 4,475.52

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Solution

The fourth proportional to 7,132.72, 9,842.49 and 4,475.52 is: 6,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.72 : 9,842.49 = 4,475.52 : x
  2. Step 2: Convert to fraction form
    7,132.72/9,842.49 = 4,475.52/x
  3. Step 3: Cross multiply
    7,132.72x = 9,842.49 × 4,475.52
  4. Step 4: Simplify right side
    7,132.72x = 44,050,260.84
  5. Step 5: Solve for x
    x = 44,050,260.84/7,132.72
  6. Step 6: Final answer
    x = 6,175.80

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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.