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Finding the Fourth Proportional to 6,561.90, 9,839.24 and 4,484.25

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Solution

The fourth proportional to 6,561.90, 9,839.24 and 4,484.25 is: 6,723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.90 : 9,839.24 = 4,484.25 : x
  2. Step 2: Convert to fraction form
    6,561.90/9,839.24 = 4,484.25/x
  3. Step 3: Cross multiply
    6,561.90x = 9,839.24 × 4,484.25
  4. Step 4: Simplify right side
    6,561.90x = 44,121,589.55
  5. Step 5: Solve for x
    x = 44,121,589.55/6,561.90
  6. Step 6: Final answer
    x = 6,723.90

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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.