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Finding the Fourth Proportional to 9,166.96, 13,767.45 and 6,395.55

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Solution

The fourth proportional to 9,166.96, 13,767.45 and 6,395.55 is: 9,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.96 : 13,767.45 = 6,395.55 : x
  2. Step 2: Convert to fraction form
    9,166.96/13,767.45 = 6,395.55/x
  3. Step 3: Cross multiply
    9,166.96x = 13,767.45 × 6,395.55
  4. Step 4: Simplify right side
    9,166.96x = 88,050,414.85
  5. Step 5: Solve for x
    x = 88,050,414.85/9,166.96
  6. Step 6: Final answer
    x = 9,605.19

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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.