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Finding the Fourth Proportional to 9,507.87, 13,121.26 and 5,874.71

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Solution

The fourth proportional to 9,507.87, 13,121.26 and 5,874.71 is: 8,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.87 : 13,121.26 = 5,874.71 : x
  2. Step 2: Convert to fraction form
    9,507.87/13,121.26 = 5,874.71/x
  3. Step 3: Cross multiply
    9,507.87x = 13,121.26 × 5,874.71
  4. Step 4: Simplify right side
    9,507.87x = 77,083,658.60
  5. Step 5: Solve for x
    x = 77,083,658.60/9,507.87
  6. Step 6: Final answer
    x = 8,107.35

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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.