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Finding the Fourth Proportional to 6,146.30, 9,220.84 and 2,250.71

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Solution

The fourth proportional to 6,146.30, 9,220.84 and 2,250.71 is: 3,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.30 : 9,220.84 = 2,250.71 : x
  2. Step 2: Convert to fraction form
    6,146.30/9,220.84 = 2,250.71/x
  3. Step 3: Cross multiply
    6,146.30x = 9,220.84 × 2,250.71
  4. Step 4: Simplify right side
    6,146.30x = 20,753,419.64
  5. Step 5: Solve for x
    x = 20,753,419.64/6,146.30
  6. Step 6: Final answer
    x = 3,376.57

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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.