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Finding the Fourth Proportional to 9,147.06, 13,689 and 5,635.71

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Solution

The fourth proportional to 9,147.06, 13,689 and 5,635.71 is: 8,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.06 : 13,689 = 5,635.71 : x
  2. Step 2: Convert to fraction form
    9,147.06/13,689 = 5,635.71/x
  3. Step 3: Cross multiply
    9,147.06x = 13,689 × 5,635.71
  4. Step 4: Simplify right side
    9,147.06x = 77,147,234.19
  5. Step 5: Solve for x
    x = 77,147,234.19/9,147.06
  6. Step 6: Final answer
    x = 8,434.10

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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.