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Finding the Fourth Proportional to 9,354.88, 14,031.84 and 2,781.12

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Solution

The fourth proportional to 9,354.88, 14,031.84 and 2,781.12 is: 4,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.88 : 14,031.84 = 2,781.12 : x
  2. Step 2: Convert to fraction form
    9,354.88/14,031.84 = 2,781.12/x
  3. Step 3: Cross multiply
    9,354.88x = 14,031.84 × 2,781.12
  4. Step 4: Simplify right side
    9,354.88x = 39,024,230.86
  5. Step 5: Solve for x
    x = 39,024,230.86/9,354.88
  6. Step 6: Final answer
    x = 4,171.54

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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.