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Finding the Fourth Proportional to 9,149.50, 12,621.45 and 6,160.24

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Solution

The fourth proportional to 9,149.50, 12,621.45 and 6,160.24 is: 8,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.50 : 12,621.45 = 6,160.24 : x
  2. Step 2: Convert to fraction form
    9,149.50/12,621.45 = 6,160.24/x
  3. Step 3: Cross multiply
    9,149.50x = 12,621.45 × 6,160.24
  4. Step 4: Simplify right side
    9,149.50x = 77,751,161.15
  5. Step 5: Solve for x
    x = 77,751,161.15/9,149.50
  6. Step 6: Final answer
    x = 8,497.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.