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Finding the Fourth Proportional to 6,704.92, 9,248.68 and 4,436.24

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Solution

The fourth proportional to 6,704.92, 9,248.68 and 4,436.24 is: 6,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.92 : 9,248.68 = 4,436.24 : x
  2. Step 2: Convert to fraction form
    6,704.92/9,248.68 = 4,436.24/x
  3. Step 3: Cross multiply
    6,704.92x = 9,248.68 × 4,436.24
  4. Step 4: Simplify right side
    6,704.92x = 41,029,364.16
  5. Step 5: Solve for x
    x = 41,029,364.16/6,704.92
  6. Step 6: Final answer
    x = 6,119.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.