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Finding the Fourth Proportional to 9,886.25, 13,642.62 and 5,909.56

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Solution

The fourth proportional to 9,886.25, 13,642.62 and 5,909.56 is: 8,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.25 : 13,642.62 = 5,909.56 : x
  2. Step 2: Convert to fraction form
    9,886.25/13,642.62 = 5,909.56/x
  3. Step 3: Cross multiply
    9,886.25x = 13,642.62 × 5,909.56
  4. Step 4: Simplify right side
    9,886.25x = 80,621,847.34
  5. Step 5: Solve for x
    x = 80,621,847.34/9,886.25
  6. Step 6: Final answer
    x = 8,154.95

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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.