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Finding the Fourth Proportional to 6,559.75, 9,049.89 and 4,322.80

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Solution

The fourth proportional to 6,559.75, 9,049.89 and 4,322.80 is: 5,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.75 : 9,049.89 = 4,322.80 : x
  2. Step 2: Convert to fraction form
    6,559.75/9,049.89 = 4,322.80/x
  3. Step 3: Cross multiply
    6,559.75x = 9,049.89 × 4,322.80
  4. Step 4: Simplify right side
    6,559.75x = 39,120,864.49
  5. Step 5: Solve for x
    x = 39,120,864.49/6,559.75
  6. Step 6: Final answer
    x = 5,963.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.