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Finding the Fourth Proportional to 9,151.20, 13,726.80 and 2,577.30

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Solution

The fourth proportional to 9,151.20, 13,726.80 and 2,577.30 is: 3,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.20 : 13,726.80 = 2,577.30 : x
  2. Step 2: Convert to fraction form
    9,151.20/13,726.80 = 2,577.30/x
  3. Step 3: Cross multiply
    9,151.20x = 13,726.80 × 2,577.30
  4. Step 4: Simplify right side
    9,151.20x = 35,378,081.64
  5. Step 5: Solve for x
    x = 35,378,081.64/9,151.20
  6. Step 6: Final answer
    x = 3,865.95

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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.