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Finding the Fourth Proportional to 6,440.54, 9,663.24 and 2,280.38

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Solution

The fourth proportional to 6,440.54, 9,663.24 and 2,280.38 is: 3,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.54 : 9,663.24 = 2,280.38 : x
  2. Step 2: Convert to fraction form
    6,440.54/9,663.24 = 2,280.38/x
  3. Step 3: Cross multiply
    6,440.54x = 9,663.24 × 2,280.38
  4. Step 4: Simplify right side
    6,440.54x = 22,035,859.23
  5. Step 5: Solve for x
    x = 22,035,859.23/6,440.54
  6. Step 6: Final answer
    x = 3,421.43

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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.