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Finding the Fourth Proportional to 6,440.88, 9,665.62 and 2,280.86

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Solution

The fourth proportional to 6,440.88, 9,665.62 and 2,280.86 is: 3,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.88 : 9,665.62 = 2,280.86 : x
  2. Step 2: Convert to fraction form
    6,440.88/9,665.62 = 2,280.86/x
  3. Step 3: Cross multiply
    6,440.88x = 9,665.62 × 2,280.86
  4. Step 4: Simplify right side
    6,440.88x = 22,045,926.03
  5. Step 5: Solve for x
    x = 22,045,926.03/6,440.88
  6. Step 6: Final answer
    x = 3,422.81

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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.