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Finding the Fourth Proportional to 6,335.70, 9,491.40 and 3,863.18

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Solution

The fourth proportional to 6,335.70, 9,491.40 and 3,863.18 is: 5,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.70 : 9,491.40 = 3,863.18 : x
  2. Step 2: Convert to fraction form
    6,335.70/9,491.40 = 3,863.18/x
  3. Step 3: Cross multiply
    6,335.70x = 9,491.40 × 3,863.18
  4. Step 4: Simplify right side
    6,335.70x = 36,666,939.20
  5. Step 5: Solve for x
    x = 36,666,939.20/6,335.70
  6. Step 6: Final answer
    x = 5,787.35

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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.