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Finding the Fourth Proportional to 6,491.43, 9,741.15 and 2,331.18

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Solution

The fourth proportional to 6,491.43, 9,741.15 and 2,331.18 is: 3,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.43 : 9,741.15 = 2,331.18 : x
  2. Step 2: Convert to fraction form
    6,491.43/9,741.15 = 2,331.18/x
  3. Step 3: Cross multiply
    6,491.43x = 9,741.15 × 2,331.18
  4. Step 4: Simplify right side
    6,491.43x = 22,708,374.06
  5. Step 5: Solve for x
    x = 22,708,374.06/6,491.43
  6. Step 6: Final answer
    x = 3,498.21

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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.