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Finding the Fourth Proportional to 9,940.68, 13,703.69 and 6,947.24

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Solution

The fourth proportional to 9,940.68, 13,703.69 and 6,947.24 is: 9,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.68 : 13,703.69 = 6,947.24 : x
  2. Step 2: Convert to fraction form
    9,940.68/13,703.69 = 6,947.24/x
  3. Step 3: Cross multiply
    9,940.68x = 13,703.69 × 6,947.24
  4. Step 4: Simplify right side
    9,940.68x = 95,202,720.06
  5. Step 5: Solve for x
    x = 95,202,720.06/9,940.68
  6. Step 6: Final answer
    x = 9,577.08

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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.