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Finding the Fourth Proportional to 8,925.52, 12,318.60 and 6,414.16

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Solution

The fourth proportional to 8,925.52, 12,318.60 and 6,414.16 is: 8,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925.52 : 12,318.60 = 6,414.16 : x
  2. Step 2: Convert to fraction form
    8,925.52/12,318.60 = 6,414.16/x
  3. Step 3: Cross multiply
    8,925.52x = 12,318.60 × 6,414.16
  4. Step 4: Simplify right side
    8,925.52x = 79,013,471.38
  5. Step 5: Solve for x
    x = 79,013,471.38/8,925.52
  6. Step 6: Final answer
    x = 8,852.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.