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Finding the Fourth Proportional to 9,589.52, 13,233.13 and 5,340.37

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Solution

The fourth proportional to 9,589.52, 13,233.13 and 5,340.37 is: 7,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.52 : 13,233.13 = 5,340.37 : x
  2. Step 2: Convert to fraction form
    9,589.52/13,233.13 = 5,340.37/x
  3. Step 3: Cross multiply
    9,589.52x = 13,233.13 × 5,340.37
  4. Step 4: Simplify right side
    9,589.52x = 70,669,810.46
  5. Step 5: Solve for x
    x = 70,669,810.46/9,589.52
  6. Step 6: Final answer
    x = 7,369.48

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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.