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Finding the Fourth Proportional to 7,125.67, 9,780.85 and 6,311.22

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Solution

The fourth proportional to 7,125.67, 9,780.85 and 6,311.22 is: 8,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.67 : 9,780.85 = 6,311.22 : x
  2. Step 2: Convert to fraction form
    7,125.67/9,780.85 = 6,311.22/x
  3. Step 3: Cross multiply
    7,125.67x = 9,780.85 × 6,311.22
  4. Step 4: Simplify right side
    7,125.67x = 61,729,067.35
  5. Step 5: Solve for x
    x = 61,729,067.35/7,125.67
  6. Step 6: Final answer
    x = 8,662.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.