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Finding the Fourth Proportional to 5,967.69, 8,937.66 and 5,229.57

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Solution

The fourth proportional to 5,967.69, 8,937.66 and 5,229.57 is: 7,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.69 : 8,937.66 = 5,229.57 : x
  2. Step 2: Convert to fraction form
    5,967.69/8,937.66 = 5,229.57/x
  3. Step 3: Cross multiply
    5,967.69x = 8,937.66 × 5,229.57
  4. Step 4: Simplify right side
    5,967.69x = 46,740,118.61
  5. Step 5: Solve for x
    x = 46,740,118.61/5,967.69
  6. Step 6: Final answer
    x = 7,832.20

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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.