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Finding the Fourth Proportional to 9,847.68, 13,589.72 and 5,371.42

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Solution

The fourth proportional to 9,847.68, 13,589.72 and 5,371.42 is: 7,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.68 : 13,589.72 = 5,371.42 : x
  2. Step 2: Convert to fraction form
    9,847.68/13,589.72 = 5,371.42/x
  3. Step 3: Cross multiply
    9,847.68x = 13,589.72 × 5,371.42
  4. Step 4: Simplify right side
    9,847.68x = 72,996,093.80
  5. Step 5: Solve for x
    x = 72,996,093.80/9,847.68
  6. Step 6: Final answer
    x = 7,412.52

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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.