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Finding the Fourth Proportional to 6,589.62, 9,928.87 and 5,445.23

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Solution

The fourth proportional to 6,589.62, 9,928.87 and 5,445.23 is: 8,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.62 : 9,928.87 = 5,445.23 : x
  2. Step 2: Convert to fraction form
    6,589.62/9,928.87 = 5,445.23/x
  3. Step 3: Cross multiply
    6,589.62x = 9,928.87 × 5,445.23
  4. Step 4: Simplify right side
    6,589.62x = 54,064,917.53
  5. Step 5: Solve for x
    x = 54,064,917.53/6,589.62
  6. Step 6: Final answer
    x = 8,204.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.