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Finding the Fourth Proportional to 9,565.90, 13,201.46 and 5,589.34

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Solution

The fourth proportional to 9,565.90, 13,201.46 and 5,589.34 is: 7,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.90 : 13,201.46 = 5,589.34 : x
  2. Step 2: Convert to fraction form
    9,565.90/13,201.46 = 5,589.34/x
  3. Step 3: Cross multiply
    9,565.90x = 13,201.46 × 5,589.34
  4. Step 4: Simplify right side
    9,565.90x = 73,787,448.44
  5. Step 5: Solve for x
    x = 73,787,448.44/9,565.90
  6. Step 6: Final answer
    x = 7,713.59

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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.