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Finding the Fourth Proportional to 9,167.80, 12,651.77 and 5,188.92

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Solution

The fourth proportional to 9,167.80, 12,651.77 and 5,188.92 is: 7,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.80 : 12,651.77 = 5,188.92 : x
  2. Step 2: Convert to fraction form
    9,167.80/12,651.77 = 5,188.92/x
  3. Step 3: Cross multiply
    9,167.80x = 12,651.77 × 5,188.92
  4. Step 4: Simplify right side
    9,167.80x = 65,648,933.18
  5. Step 5: Solve for x
    x = 65,648,933.18/9,167.80
  6. Step 6: Final answer
    x = 7,160.82

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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.