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Finding the Fourth Proportional to 8,947.72, 12,348.12 and 4,969.43

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Solution

The fourth proportional to 8,947.72, 12,348.12 and 4,969.43 is: 6,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.72 : 12,348.12 = 4,969.43 : x
  2. Step 2: Convert to fraction form
    8,947.72/12,348.12 = 4,969.43/x
  3. Step 3: Cross multiply
    8,947.72x = 12,348.12 × 4,969.43
  4. Step 4: Simplify right side
    8,947.72x = 61,363,072.47
  5. Step 5: Solve for x
    x = 61,363,072.47/8,947.72
  6. Step 6: Final answer
    x = 6,857.96

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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.