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Finding the Fourth Proportional to 9,083.92, 12,535.69 and 5,105.70

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Solution

The fourth proportional to 9,083.92, 12,535.69 and 5,105.70 is: 7,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.92 : 12,535.69 = 5,105.70 : x
  2. Step 2: Convert to fraction form
    9,083.92/12,535.69 = 5,105.70/x
  3. Step 3: Cross multiply
    9,083.92x = 12,535.69 × 5,105.70
  4. Step 4: Simplify right side
    9,083.92x = 64,003,472.43
  5. Step 5: Solve for x
    x = 64,003,472.43/9,083.92
  6. Step 6: Final answer
    x = 7,045.80

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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.