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Finding the Fourth Proportional to 9,143.80, 13,715.32 and 3,877.36

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Solution

The fourth proportional to 9,143.80, 13,715.32 and 3,877.36 is: 5,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.80 : 13,715.32 = 3,877.36 : x
  2. Step 2: Convert to fraction form
    9,143.80/13,715.32 = 3,877.36/x
  3. Step 3: Cross multiply
    9,143.80x = 13,715.32 × 3,877.36
  4. Step 4: Simplify right side
    9,143.80x = 53,179,233.16
  5. Step 5: Solve for x
    x = 53,179,233.16/9,143.80
  6. Step 6: Final answer
    x = 5,815.88

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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.