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Finding the Fourth Proportional to 8,947.91, 12,348.27 and 4,969.08

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Solution

The fourth proportional to 8,947.91, 12,348.27 and 4,969.08 is: 6,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.91 : 12,348.27 = 4,969.08 : x
  2. Step 2: Convert to fraction form
    8,947.91/12,348.27 = 4,969.08/x
  3. Step 3: Cross multiply
    8,947.91x = 12,348.27 × 4,969.08
  4. Step 4: Simplify right side
    8,947.91x = 61,359,541.49
  5. Step 5: Solve for x
    x = 61,359,541.49/8,947.91
  6. Step 6: Final answer
    x = 6,857.41

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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.