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Finding the Fourth Proportional to 9,340.50, 12,890.16 and 5,149.02

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Solution

The fourth proportional to 9,340.50, 12,890.16 and 5,149.02 is: 7,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.50 : 12,890.16 = 5,149.02 : x
  2. Step 2: Convert to fraction form
    9,340.50/12,890.16 = 5,149.02/x
  3. Step 3: Cross multiply
    9,340.50x = 12,890.16 × 5,149.02
  4. Step 4: Simplify right side
    9,340.50x = 66,371,691.64
  5. Step 5: Solve for x
    x = 66,371,691.64/9,340.50
  6. Step 6: Final answer
    x = 7,105.80

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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.