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Finding the Fourth Proportional to 6,432.28, 9,649.10 and 2,048.71

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Solution

The fourth proportional to 6,432.28, 9,649.10 and 2,048.71 is: 3,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.28 : 9,649.10 = 2,048.71 : x
  2. Step 2: Convert to fraction form
    6,432.28/9,649.10 = 2,048.71/x
  3. Step 3: Cross multiply
    6,432.28x = 9,649.10 × 2,048.71
  4. Step 4: Simplify right side
    6,432.28x = 19,768,207.66
  5. Step 5: Solve for x
    x = 19,768,207.66/6,432.28
  6. Step 6: Final answer
    x = 3,073.28

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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.