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Finding the Fourth Proportional to 6,146.64, 9,209.01 and 2,580.92

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Solution

The fourth proportional to 6,146.64, 9,209.01 and 2,580.92 is: 3,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.64 : 9,209.01 = 2,580.92 : x
  2. Step 2: Convert to fraction form
    6,146.64/9,209.01 = 2,580.92/x
  3. Step 3: Cross multiply
    6,146.64x = 9,209.01 × 2,580.92
  4. Step 4: Simplify right side
    6,146.64x = 23,767,672.04
  5. Step 5: Solve for x
    x = 23,767,672.04/6,146.64
  6. Step 6: Final answer
    x = 3,866.78

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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.