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Finding the Fourth Proportional to 6,447.74, 9,672.81 and 2,552.45

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Solution

The fourth proportional to 6,447.74, 9,672.81 and 2,552.45 is: 3,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.74 : 9,672.81 = 2,552.45 : x
  2. Step 2: Convert to fraction form
    6,447.74/9,672.81 = 2,552.45/x
  3. Step 3: Cross multiply
    6,447.74x = 9,672.81 × 2,552.45
  4. Step 4: Simplify right side
    6,447.74x = 24,689,315.52
  5. Step 5: Solve for x
    x = 24,689,315.52/6,447.74
  6. Step 6: Final answer
    x = 3,829.15

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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.