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Finding the Fourth Proportional to 8,947.40, 13,423.42 and 3,400.84

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Solution

The fourth proportional to 8,947.40, 13,423.42 and 3,400.84 is: 5,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.40 : 13,423.42 = 3,400.84 : x
  2. Step 2: Convert to fraction form
    8,947.40/13,423.42 = 3,400.84/x
  3. Step 3: Cross multiply
    8,947.40x = 13,423.42 × 3,400.84
  4. Step 4: Simplify right side
    8,947.40x = 45,650,903.67
  5. Step 5: Solve for x
    x = 45,650,903.67/8,947.40
  6. Step 6: Final answer
    x = 5,102.14

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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.