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Finding the Fourth Proportional to 6,481.70, 9,722.55 and 6,117.20

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Solution

The fourth proportional to 6,481.70, 9,722.55 and 6,117.20 is: 9,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.70 : 9,722.55 = 6,117.20 : x
  2. Step 2: Convert to fraction form
    6,481.70/9,722.55 = 6,117.20/x
  3. Step 3: Cross multiply
    6,481.70x = 9,722.55 × 6,117.20
  4. Step 4: Simplify right side
    6,481.70x = 59,474,782.86
  5. Step 5: Solve for x
    x = 59,474,782.86/6,481.70
  6. Step 6: Final answer
    x = 9,175.80

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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.