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Finding the Fourth Proportional to 8,366.46, 12,569.13 and 4,906.14

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Solution

The fourth proportional to 8,366.46, 12,569.13 and 4,906.14 is: 7,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.46 : 12,569.13 = 4,906.14 : x
  2. Step 2: Convert to fraction form
    8,366.46/12,569.13 = 4,906.14/x
  3. Step 3: Cross multiply
    8,366.46x = 12,569.13 × 4,906.14
  4. Step 4: Simplify right side
    8,366.46x = 61,665,911.46
  5. Step 5: Solve for x
    x = 61,665,911.46/8,366.46
  6. Step 6: Final answer
    x = 7,370.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.