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Finding the Fourth Proportional to 28,414.32, 42,612.84 and 9,942

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Solution

The fourth proportional to 28,414.32, 42,612.84 and 9,942 is: 14,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,414.32 : 42,612.84 = 9,942 : x
  2. Step 2: Convert to fraction form
    28,414.32/42,612.84 = 9,942/x
  3. Step 3: Cross multiply
    28,414.32x = 42,612.84 × 9,942
  4. Step 4: Simplify right side
    28,414.32x = 423,656,855.28
  5. Step 5: Solve for x
    x = 423,656,855.28/28,414.32
  6. Step 6: Final answer
    x = 14,909.98

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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.