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Finding the Fourth Proportional to 9,034.92, 13,566.15 and 8,589.42

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Solution

The fourth proportional to 9,034.92, 13,566.15 and 8,589.42 is: 12,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.92 : 13,566.15 = 8,589.42 : x
  2. Step 2: Convert to fraction form
    9,034.92/13,566.15 = 8,589.42/x
  3. Step 3: Cross multiply
    9,034.92x = 13,566.15 × 8,589.42
  4. Step 4: Simplify right side
    9,034.92x = 116,525,360.13
  5. Step 5: Solve for x
    x = 116,525,360.13/9,034.92
  6. Step 6: Final answer
    x = 12,897.22

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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.