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Finding the Fourth Proportional to 9,042.85, 13,539.97 and 5,738.05

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Solution

The fourth proportional to 9,042.85, 13,539.97 and 5,738.05 is: 8,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.85 : 13,539.97 = 5,738.05 : x
  2. Step 2: Convert to fraction form
    9,042.85/13,539.97 = 5,738.05/x
  3. Step 3: Cross multiply
    9,042.85x = 13,539.97 × 5,738.05
  4. Step 4: Simplify right side
    9,042.85x = 77,693,024.86
  5. Step 5: Solve for x
    x = 77,693,024.86/9,042.85
  6. Step 6: Final answer
    x = 8,591.65

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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.