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Finding the Fourth Proportional to 6,343.12, 9,521.16 and 3,846.70

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Solution

The fourth proportional to 6,343.12, 9,521.16 and 3,846.70 is: 5,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.12 : 9,521.16 = 3,846.70 : x
  2. Step 2: Convert to fraction form
    6,343.12/9,521.16 = 3,846.70/x
  3. Step 3: Cross multiply
    6,343.12x = 9,521.16 × 3,846.70
  4. Step 4: Simplify right side
    6,343.12x = 36,625,046.17
  5. Step 5: Solve for x
    x = 36,625,046.17/6,343.12
  6. Step 6: Final answer
    x = 5,773.98

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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.