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Finding the Fourth Proportional to 9,847.57, 13,589.64 and 5,371.32

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Solution

The fourth proportional to 9,847.57, 13,589.64 and 5,371.32 is: 7,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.57 : 13,589.64 = 5,371.32 : x
  2. Step 2: Convert to fraction form
    9,847.57/13,589.64 = 5,371.32/x
  3. Step 3: Cross multiply
    9,847.57x = 13,589.64 × 5,371.32
  4. Step 4: Simplify right side
    9,847.57x = 72,994,294.75
  5. Step 5: Solve for x
    x = 72,994,294.75/9,847.57
  6. Step 6: Final answer
    x = 7,412.42

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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.