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Finding the Fourth Proportional to 9,123.43, 12,589.27 and 5,144.31

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Solution

The fourth proportional to 9,123.43, 12,589.27 and 5,144.31 is: 7,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.43 : 12,589.27 = 5,144.31 : x
  2. Step 2: Convert to fraction form
    9,123.43/12,589.27 = 5,144.31/x
  3. Step 3: Cross multiply
    9,123.43x = 12,589.27 × 5,144.31
  4. Step 4: Simplify right side
    9,123.43x = 64,763,107.55
  5. Step 5: Solve for x
    x = 64,763,107.55/9,123.43
  6. Step 6: Final answer
    x = 7,098.55

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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.