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Finding the Fourth Proportional to 9,414.54, 12,998.18 and 6,429.28

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Solution

The fourth proportional to 9,414.54, 12,998.18 and 6,429.28 is: 8,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.54 : 12,998.18 = 6,429.28 : x
  2. Step 2: Convert to fraction form
    9,414.54/12,998.18 = 6,429.28/x
  3. Step 3: Cross multiply
    9,414.54x = 12,998.18 × 6,429.28
  4. Step 4: Simplify right side
    9,414.54x = 83,568,938.71
  5. Step 5: Solve for x
    x = 83,568,938.71/9,414.54
  6. Step 6: Final answer
    x = 8,876.58

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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.