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Finding the Fourth Proportional to 8,947.01, 12,346.76 and 5,170.16

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Solution

The fourth proportional to 8,947.01, 12,346.76 and 5,170.16 is: 7,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.01 : 12,346.76 = 5,170.16 : x
  2. Step 2: Convert to fraction form
    8,947.01/12,346.76 = 5,170.16/x
  3. Step 3: Cross multiply
    8,947.01x = 12,346.76 × 5,170.16
  4. Step 4: Simplify right side
    8,947.01x = 63,834,675.87
  5. Step 5: Solve for x
    x = 63,834,675.87/8,947.01
  6. Step 6: Final answer
    x = 7,134.75

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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.