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Finding the Fourth Proportional to 9,589.06, 13,232.82 and 5,397.31

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Solution

The fourth proportional to 9,589.06, 13,232.82 and 5,397.31 is: 7,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.06 : 13,232.82 = 5,397.31 : x
  2. Step 2: Convert to fraction form
    9,589.06/13,232.82 = 5,397.31/x
  3. Step 3: Cross multiply
    9,589.06x = 13,232.82 × 5,397.31
  4. Step 4: Simplify right side
    9,589.06x = 71,421,631.71
  5. Step 5: Solve for x
    x = 71,421,631.71/9,589.06
  6. Step 6: Final answer
    x = 7,448.24

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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.