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Finding the Fourth Proportional to 6,947.10, 9,577.02 and 4,954.20

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Solution

The fourth proportional to 6,947.10, 9,577.02 and 4,954.20 is: 6,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.10 : 9,577.02 = 4,954.20 : x
  2. Step 2: Convert to fraction form
    6,947.10/9,577.02 = 4,954.20/x
  3. Step 3: Cross multiply
    6,947.10x = 9,577.02 × 4,954.20
  4. Step 4: Simplify right side
    6,947.10x = 47,446,472.48
  5. Step 5: Solve for x
    x = 47,446,472.48/6,947.10
  6. Step 6: Final answer
    x = 6,829.68

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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.