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Finding the Fourth Proportional to 9,142.48, 13,679.16 and 8,589.52

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Solution

The fourth proportional to 9,142.48, 13,679.16 and 8,589.52 is: 12,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.48 : 13,679.16 = 8,589.52 : x
  2. Step 2: Convert to fraction form
    9,142.48/13,679.16 = 8,589.52/x
  3. Step 3: Cross multiply
    9,142.48x = 13,679.16 × 8,589.52
  4. Step 4: Simplify right side
    9,142.48x = 117,497,418.40
  5. Step 5: Solve for x
    x = 117,497,418.40/9,142.48
  6. Step 6: Final answer
    x = 12,851.81

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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.