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Finding the Fourth Proportional to 8,947.70, 12,347.40 and 4,969.05

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Solution

The fourth proportional to 8,947.70, 12,347.40 and 4,969.05 is: 6,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.70 : 12,347.40 = 4,969.05 : x
  2. Step 2: Convert to fraction form
    8,947.70/12,347.40 = 4,969.05/x
  3. Step 3: Cross multiply
    8,947.70x = 12,347.40 × 4,969.05
  4. Step 4: Simplify right side
    8,947.70x = 61,354,847.97
  5. Step 5: Solve for x
    x = 61,354,847.97/8,947.70
  6. Step 6: Final answer
    x = 6,857.06

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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.