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Finding the Fourth Proportional to 6,257.28, 9,389.16 and 2,793.84

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Solution

The fourth proportional to 6,257.28, 9,389.16 and 2,793.84 is: 4,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.28 : 9,389.16 = 2,793.84 : x
  2. Step 2: Convert to fraction form
    6,257.28/9,389.16 = 2,793.84/x
  3. Step 3: Cross multiply
    6,257.28x = 9,389.16 × 2,793.84
  4. Step 4: Simplify right side
    6,257.28x = 26,231,810.77
  5. Step 5: Solve for x
    x = 26,231,810.77/6,257.28
  6. Step 6: Final answer
    x = 4,192.21

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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.