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Finding the Fourth Proportional to 8,947.61, 13,421.42 and 3,399.65

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Solution

The fourth proportional to 8,947.61, 13,421.42 and 3,399.65 is: 5,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.61 : 13,421.42 = 3,399.65 : x
  2. Step 2: Convert to fraction form
    8,947.61/13,421.42 = 3,399.65/x
  3. Step 3: Cross multiply
    8,947.61x = 13,421.42 × 3,399.65
  4. Step 4: Simplify right side
    8,947.61x = 45,628,130.50
  5. Step 5: Solve for x
    x = 45,628,130.50/8,947.61
  6. Step 6: Final answer
    x = 5,099.48

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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.