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Finding the Fourth Proportional to 9,589.95, 13,233.63 and 5,398.47

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Solution

The fourth proportional to 9,589.95, 13,233.63 and 5,398.47 is: 7,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.95 : 13,233.63 = 5,398.47 : x
  2. Step 2: Convert to fraction form
    9,589.95/13,233.63 = 5,398.47/x
  3. Step 3: Cross multiply
    9,589.95x = 13,233.63 × 5,398.47
  4. Step 4: Simplify right side
    9,589.95x = 71,441,354.55
  5. Step 5: Solve for x
    x = 71,441,354.55/9,589.95
  6. Step 6: Final answer
    x = 7,449.61

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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.