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Finding the Fourth Proportional to 9,838.32, 14,757.43 and 2,442.78

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Solution

The fourth proportional to 9,838.32, 14,757.43 and 2,442.78 is: 3,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.32 : 14,757.43 = 2,442.78 : x
  2. Step 2: Convert to fraction form
    9,838.32/14,757.43 = 2,442.78/x
  3. Step 3: Cross multiply
    9,838.32x = 14,757.43 × 2,442.78
  4. Step 4: Simplify right side
    9,838.32x = 36,049,102.57
  5. Step 5: Solve for x
    x = 36,049,102.57/9,838.32
  6. Step 6: Final answer
    x = 3,664.15

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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.