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Finding the Fourth Proportional to 6,440.07, 9,660.92 and 2,279.10

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Solution

The fourth proportional to 6,440.07, 9,660.92 and 2,279.10 is: 3,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.07 : 9,660.92 = 2,279.10 : x
  2. Step 2: Convert to fraction form
    6,440.07/9,660.92 = 2,279.10/x
  3. Step 3: Cross multiply
    6,440.07x = 9,660.92 × 2,279.10
  4. Step 4: Simplify right side
    6,440.07x = 22,018,191.38
  5. Step 5: Solve for x
    x = 22,018,191.38/6,440.07
  6. Step 6: Final answer
    x = 3,418.94

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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.