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Finding the Fourth Proportional to 9,589.88, 13,235.25 and 5,398.94

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Solution

The fourth proportional to 9,589.88, 13,235.25 and 5,398.94 is: 7,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.88 : 13,235.25 = 5,398.94 : x
  2. Step 2: Convert to fraction form
    9,589.88/13,235.25 = 5,398.94/x
  3. Step 3: Cross multiply
    9,589.88x = 13,235.25 × 5,398.94
  4. Step 4: Simplify right side
    9,589.88x = 71,456,254.46
  5. Step 5: Solve for x
    x = 71,456,254.46/9,589.88
  6. Step 6: Final answer
    x = 7,451.22

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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.