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Finding the Fourth Proportional to 6,297.86, 9,433.29 and 5,122.28

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Solution

The fourth proportional to 6,297.86, 9,433.29 and 5,122.28 is: 7,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.86 : 9,433.29 = 5,122.28 : x
  2. Step 2: Convert to fraction form
    6,297.86/9,433.29 = 5,122.28/x
  3. Step 3: Cross multiply
    6,297.86x = 9,433.29 × 5,122.28
  4. Step 4: Simplify right side
    6,297.86x = 48,319,952.70
  5. Step 5: Solve for x
    x = 48,319,952.70/6,297.86
  6. Step 6: Final answer
    x = 7,672.44

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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.