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Finding the Fourth Proportional to 6,301.92, 9,445.20 and 2,834.40

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Solution

The fourth proportional to 6,301.92, 9,445.20 and 2,834.40 is: 4,248.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.92 : 9,445.20 = 2,834.40 : x
  2. Step 2: Convert to fraction form
    6,301.92/9,445.20 = 2,834.40/x
  3. Step 3: Cross multiply
    6,301.92x = 9,445.20 × 2,834.40
  4. Step 4: Simplify right side
    6,301.92x = 26,771,474.88
  5. Step 5: Solve for x
    x = 26,771,474.88/6,301.92
  6. Step 6: Final answer
    x = 4,248.15

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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.