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Finding the Fourth Proportional to 7,147.26, 9,854.64 and 6,150.83

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Solution

The fourth proportional to 7,147.26, 9,854.64 and 6,150.83 is: 8,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.26 : 9,854.64 = 6,150.83 : x
  2. Step 2: Convert to fraction form
    7,147.26/9,854.64 = 6,150.83/x
  3. Step 3: Cross multiply
    7,147.26x = 9,854.64 × 6,150.83
  4. Step 4: Simplify right side
    7,147.26x = 60,614,166.08
  5. Step 5: Solve for x
    x = 60,614,166.08/7,147.26
  6. Step 6: Final answer
    x = 8,480.76

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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.