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Finding the Fourth Proportional to 6,146.10, 9,213.39 and 3,024.90

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Solution

The fourth proportional to 6,146.10, 9,213.39 and 3,024.90 is: 4,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.10 : 9,213.39 = 3,024.90 : x
  2. Step 2: Convert to fraction form
    6,146.10/9,213.39 = 3,024.90/x
  3. Step 3: Cross multiply
    6,146.10x = 9,213.39 × 3,024.90
  4. Step 4: Simplify right side
    6,146.10x = 27,869,583.41
  5. Step 5: Solve for x
    x = 27,869,583.41/6,146.10
  6. Step 6: Final answer
    x = 4,534.52

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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.