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Finding the Fourth Proportional to 9,566.28, 13,203 and 5,589.72

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Solution

The fourth proportional to 9,566.28, 13,203 and 5,589.72 is: 7,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.28 : 13,203 = 5,589.72 : x
  2. Step 2: Convert to fraction form
    9,566.28/13,203 = 5,589.72/x
  3. Step 3: Cross multiply
    9,566.28x = 13,203 × 5,589.72
  4. Step 4: Simplify right side
    9,566.28x = 73,801,073.16
  5. Step 5: Solve for x
    x = 73,801,073.16/9,566.28
  6. Step 6: Final answer
    x = 7,714.71

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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.