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Finding the Fourth Proportional to 6,146.52, 9,214.24 and 2,250.01

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Solution

The fourth proportional to 6,146.52, 9,214.24 and 2,250.01 is: 3,372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.52 : 9,214.24 = 2,250.01 : x
  2. Step 2: Convert to fraction form
    6,146.52/9,214.24 = 2,250.01/x
  3. Step 3: Cross multiply
    6,146.52x = 9,214.24 × 2,250.01
  4. Step 4: Simplify right side
    6,146.52x = 20,732,132.14
  5. Step 5: Solve for x
    x = 20,732,132.14/6,146.52
  6. Step 6: Final answer
    x = 3,372.99

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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.