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Finding the Fourth Proportional to 6,517.40, 9,776.10 and 4,443.80

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Solution

The fourth proportional to 6,517.40, 9,776.10 and 4,443.80 is: 6,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.40 : 9,776.10 = 4,443.80 : x
  2. Step 2: Convert to fraction form
    6,517.40/9,776.10 = 4,443.80/x
  3. Step 3: Cross multiply
    6,517.40x = 9,776.10 × 4,443.80
  4. Step 4: Simplify right side
    6,517.40x = 43,443,033.18
  5. Step 5: Solve for x
    x = 43,443,033.18/6,517.40
  6. Step 6: Final answer
    x = 6,665.70

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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.