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Finding the Fourth Proportional to 6,982.91, 9,627.66 and 4,460.87

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Solution

The fourth proportional to 6,982.91, 9,627.66 and 4,460.87 is: 6,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.91 : 9,627.66 = 4,460.87 : x
  2. Step 2: Convert to fraction form
    6,982.91/9,627.66 = 4,460.87/x
  3. Step 3: Cross multiply
    6,982.91x = 9,627.66 × 4,460.87
  4. Step 4: Simplify right side
    6,982.91x = 42,947,763.73
  5. Step 5: Solve for x
    x = 42,947,763.73/6,982.91
  6. Step 6: Final answer
    x = 6,150.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.