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Finding the Fourth Proportional to 6,977.67, 9,625.80 and 4,621.78

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Solution

The fourth proportional to 6,977.67, 9,625.80 and 4,621.78 is: 6,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.67 : 9,625.80 = 4,621.78 : x
  2. Step 2: Convert to fraction form
    6,977.67/9,625.80 = 4,621.78/x
  3. Step 3: Cross multiply
    6,977.67x = 9,625.80 × 4,621.78
  4. Step 4: Simplify right side
    6,977.67x = 44,488,329.92
  5. Step 5: Solve for x
    x = 44,488,329.92/6,977.67
  6. Step 6: Final answer
    x = 6,375.81

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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.