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Finding the Fourth Proportional to 9,174.71, 13,762.00 and 5,452.29

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Solution

The fourth proportional to 9,174.71, 13,762.00 and 5,452.29 is: 8,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.71 : 13,762.00 = 5,452.29 : x
  2. Step 2: Convert to fraction form
    9,174.71/13,762.00 = 5,452.29/x
  3. Step 3: Cross multiply
    9,174.71x = 13,762.00 × 5,452.29
  4. Step 4: Simplify right side
    9,174.71x = 75,034,387.72
  5. Step 5: Solve for x
    x = 75,034,387.72/9,174.71
  6. Step 6: Final answer
    x = 8,178.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.