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Finding the Fourth Proportional to 9,138.80, 13,703.01 and 3,589.11

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Solution

The fourth proportional to 9,138.80, 13,703.01 and 3,589.11 is: 5,381.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.80 : 13,703.01 = 3,589.11 : x
  2. Step 2: Convert to fraction form
    9,138.80/13,703.01 = 3,589.11/x
  3. Step 3: Cross multiply
    9,138.80x = 13,703.01 × 3,589.11
  4. Step 4: Simplify right side
    9,138.80x = 49,181,665.58
  5. Step 5: Solve for x
    x = 49,181,665.58/9,138.80
  6. Step 6: Final answer
    x = 5,381.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.