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Finding the Fourth Proportional to 6,527.34, 9,008.13 and 3,732.78

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Solution

The fourth proportional to 6,527.34, 9,008.13 and 3,732.78 is: 5,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.34 : 9,008.13 = 3,732.78 : x
  2. Step 2: Convert to fraction form
    6,527.34/9,008.13 = 3,732.78/x
  3. Step 3: Cross multiply
    6,527.34x = 9,008.13 × 3,732.78
  4. Step 4: Simplify right side
    6,527.34x = 33,625,367.50
  5. Step 5: Solve for x
    x = 33,625,367.50/6,527.34
  6. Step 6: Final answer
    x = 5,151.47

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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.