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Finding the Fourth Proportional to 9,219.70, 12,691.20 and 6,977.62

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Solution

The fourth proportional to 9,219.70, 12,691.20 and 6,977.62 is: 9,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.70 : 12,691.20 = 6,977.62 : x
  2. Step 2: Convert to fraction form
    9,219.70/12,691.20 = 6,977.62/x
  3. Step 3: Cross multiply
    9,219.70x = 12,691.20 × 6,977.62
  4. Step 4: Simplify right side
    9,219.70x = 88,554,339.22
  5. Step 5: Solve for x
    x = 88,554,339.22/9,219.70
  6. Step 6: Final answer
    x = 9,604.91

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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.