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Finding the Fourth Proportional to 9,123.78, 12,591.06 and 5,144.65

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Solution

The fourth proportional to 9,123.78, 12,591.06 and 5,144.65 is: 7,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.78 : 12,591.06 = 5,144.65 : x
  2. Step 2: Convert to fraction form
    9,123.78/12,591.06 = 5,144.65/x
  3. Step 3: Cross multiply
    9,123.78x = 12,591.06 × 5,144.65
  4. Step 4: Simplify right side
    9,123.78x = 64,776,596.83
  5. Step 5: Solve for x
    x = 64,776,596.83/9,123.78
  6. Step 6: Final answer
    x = 7,099.75

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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.