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Finding the Fourth Proportional to 9,390.52, 12,960.84 and 6,414.58

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Solution

The fourth proportional to 9,390.52, 12,960.84 and 6,414.58 is: 8,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.52 : 12,960.84 = 6,414.58 : x
  2. Step 2: Convert to fraction form
    9,390.52/12,960.84 = 6,414.58/x
  3. Step 3: Cross multiply
    9,390.52x = 12,960.84 × 6,414.58
  4. Step 4: Simplify right side
    9,390.52x = 83,138,345.05
  5. Step 5: Solve for x
    x = 83,138,345.05/9,390.52
  6. Step 6: Final answer
    x = 8,853.43

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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.