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Finding the Fourth Proportional to 9,078.80, 13,618.17 and 2,506.86

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Solution

The fourth proportional to 9,078.80, 13,618.17 and 2,506.86 is: 3,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.80 : 13,618.17 = 2,506.86 : x
  2. Step 2: Convert to fraction form
    9,078.80/13,618.17 = 2,506.86/x
  3. Step 3: Cross multiply
    9,078.80x = 13,618.17 × 2,506.86
  4. Step 4: Simplify right side
    9,078.80x = 34,138,845.65
  5. Step 5: Solve for x
    x = 34,138,845.65/9,078.80
  6. Step 6: Final answer
    x = 3,760.28

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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.