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Finding the Fourth Proportional to 9,155.46, 13,733.20 and 2,580.80

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Solution

The fourth proportional to 9,155.46, 13,733.20 and 2,580.80 is: 3,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.46 : 13,733.20 = 2,580.80 : x
  2. Step 2: Convert to fraction form
    9,155.46/13,733.20 = 2,580.80/x
  3. Step 3: Cross multiply
    9,155.46x = 13,733.20 × 2,580.80
  4. Step 4: Simplify right side
    9,155.46x = 35,442,577.12
  5. Step 5: Solve for x
    x = 35,442,577.12/9,155.46
  6. Step 6: Final answer
    x = 3,871.19

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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.