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Finding the Fourth Proportional to 9,589.57, 13,234.50 and 5,610.43

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Solution

The fourth proportional to 9,589.57, 13,234.50 and 5,610.43 is: 7,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.57 : 13,234.50 = 5,610.43 : x
  2. Step 2: Convert to fraction form
    9,589.57/13,234.50 = 5,610.43/x
  3. Step 3: Cross multiply
    9,589.57x = 13,234.50 × 5,610.43
  4. Step 4: Simplify right side
    9,589.57x = 74,251,235.84
  5. Step 5: Solve for x
    x = 74,251,235.84/9,589.57
  6. Step 6: Final answer
    x = 7,742.92

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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.