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Finding the Fourth Proportional to 9,543.54, 14,314.41 and 5,843.88

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Solution

The fourth proportional to 9,543.54, 14,314.41 and 5,843.88 is: 8,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.54 : 14,314.41 = 5,843.88 : x
  2. Step 2: Convert to fraction form
    9,543.54/14,314.41 = 5,843.88/x
  3. Step 3: Cross multiply
    9,543.54x = 14,314.41 × 5,843.88
  4. Step 4: Simplify right side
    9,543.54x = 83,651,694.31
  5. Step 5: Solve for x
    x = 83,651,694.31/9,543.54
  6. Step 6: Final answer
    x = 8,765.27

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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.