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Finding the Fourth Proportional to 9,847.48, 13,589.61 and 5,867.74

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Solution

The fourth proportional to 9,847.48, 13,589.61 and 5,867.74 is: 8,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.48 : 13,589.61 = 5,867.74 : x
  2. Step 2: Convert to fraction form
    9,847.48/13,589.61 = 5,867.74/x
  3. Step 3: Cross multiply
    9,847.48x = 13,589.61 × 5,867.74
  4. Step 4: Simplify right side
    9,847.48x = 79,740,298.18
  5. Step 5: Solve for x
    x = 79,740,298.18/9,847.48
  6. Step 6: Final answer
    x = 8,097.53

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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.