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Finding the Fourth Proportional to 6,099.51, 9,147.45 and 2,589.47

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Solution

The fourth proportional to 6,099.51, 9,147.45 and 2,589.47 is: 3,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.51 : 9,147.45 = 2,589.47 : x
  2. Step 2: Convert to fraction form
    6,099.51/9,147.45 = 2,589.47/x
  3. Step 3: Cross multiply
    6,099.51x = 9,147.45 × 2,589.47
  4. Step 4: Simplify right side
    6,099.51x = 23,687,047.35
  5. Step 5: Solve for x
    x = 23,687,047.35/6,099.51
  6. Step 6: Final answer
    x = 3,883.43

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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.