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Finding the Fourth Proportional to 6,440.49, 9,644.90 and 3,142.95

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Solution

The fourth proportional to 6,440.49, 9,644.90 and 3,142.95 is: 4,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.49 : 9,644.90 = 3,142.95 : x
  2. Step 2: Convert to fraction form
    6,440.49/9,644.90 = 3,142.95/x
  3. Step 3: Cross multiply
    6,440.49x = 9,644.90 × 3,142.95
  4. Step 4: Simplify right side
    6,440.49x = 30,313,422.74
  5. Step 5: Solve for x
    x = 30,313,422.74/6,440.49
  6. Step 6: Final answer
    x = 4,706.70

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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.