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Finding the Fourth Proportional to 9,123.57, 12,592.35 and 5,144.76

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Solution

The fourth proportional to 9,123.57, 12,592.35 and 5,144.76 is: 7,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.57 : 12,592.35 = 5,144.76 : x
  2. Step 2: Convert to fraction form
    9,123.57/12,592.35 = 5,144.76/x
  3. Step 3: Cross multiply
    9,123.57x = 12,592.35 × 5,144.76
  4. Step 4: Simplify right side
    9,123.57x = 64,784,618.59
  5. Step 5: Solve for x
    x = 64,784,618.59/9,123.57
  6. Step 6: Final answer
    x = 7,100.80

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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.