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Finding the Fourth Proportional to 9,640.20, 14,443.80 and 5,260.74

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Solution

The fourth proportional to 9,640.20, 14,443.80 and 5,260.74 is: 7,882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.20 : 14,443.80 = 5,260.74 : x
  2. Step 2: Convert to fraction form
    9,640.20/14,443.80 = 5,260.74/x
  3. Step 3: Cross multiply
    9,640.20x = 14,443.80 × 5,260.74
  4. Step 4: Simplify right side
    9,640.20x = 75,985,076.41
  5. Step 5: Solve for x
    x = 75,985,076.41/9,640.20
  6. Step 6: Final answer
    x = 7,882.11

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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.