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Finding the Fourth Proportional to 9,711.72, 14,536.25 and 5,025.29

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Solution

The fourth proportional to 9,711.72, 14,536.25 and 5,025.29 is: 7,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.72 : 14,536.25 = 5,025.29 : x
  2. Step 2: Convert to fraction form
    9,711.72/14,536.25 = 5,025.29/x
  3. Step 3: Cross multiply
    9,711.72x = 14,536.25 × 5,025.29
  4. Step 4: Simplify right side
    9,711.72x = 73,048,773.95
  5. Step 5: Solve for x
    x = 73,048,773.95/9,711.72
  6. Step 6: Final answer
    x = 7,521.71

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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.