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Finding the Fourth Proportional to 8,439.74, 11,647 and 4,903.18

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Solution

The fourth proportional to 8,439.74, 11,647 and 4,903.18 is: 6,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.74 : 11,647 = 4,903.18 : x
  2. Step 2: Convert to fraction form
    8,439.74/11,647 = 4,903.18/x
  3. Step 3: Cross multiply
    8,439.74x = 11,647 × 4,903.18
  4. Step 4: Simplify right side
    8,439.74x = 57,107,337.46
  5. Step 5: Solve for x
    x = 57,107,337.46/8,439.74
  6. Step 6: Final answer
    x = 6,766.48

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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.