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Finding the Fourth Proportional to 9,123.31, 12,590.17 and 5,144.42

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Solution

The fourth proportional to 9,123.31, 12,590.17 and 5,144.42 is: 7,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.31 : 12,590.17 = 5,144.42 : x
  2. Step 2: Convert to fraction form
    9,123.31/12,590.17 = 5,144.42/x
  3. Step 3: Cross multiply
    9,123.31x = 12,590.17 × 5,144.42
  4. Step 4: Simplify right side
    9,123.31x = 64,769,180.37
  5. Step 5: Solve for x
    x = 64,769,180.37/9,123.31
  6. Step 6: Final answer
    x = 7,099.31

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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.