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Finding the Fourth Proportional to 6,535.92, 9,804.96 and 3,902.16

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Solution

The fourth proportional to 6,535.92, 9,804.96 and 3,902.16 is: 5,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.92 : 9,804.96 = 3,902.16 : x
  2. Step 2: Convert to fraction form
    6,535.92/9,804.96 = 3,902.16/x
  3. Step 3: Cross multiply
    6,535.92x = 9,804.96 × 3,902.16
  4. Step 4: Simplify right side
    6,535.92x = 38,260,522.71
  5. Step 5: Solve for x
    x = 38,260,522.71/6,535.92
  6. Step 6: Final answer
    x = 5,853.88

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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.