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Finding the Fourth Proportional to 6,931.29, 9,564.27 and 3,947.16

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Solution

The fourth proportional to 6,931.29, 9,564.27 and 3,947.16 is: 5,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.29 : 9,564.27 = 3,947.16 : x
  2. Step 2: Convert to fraction form
    6,931.29/9,564.27 = 3,947.16/x
  3. Step 3: Cross multiply
    6,931.29x = 9,564.27 × 3,947.16
  4. Step 4: Simplify right side
    6,931.29x = 37,751,703.97
  5. Step 5: Solve for x
    x = 37,751,703.97/6,931.29
  6. Step 6: Final answer
    x = 5,446.56

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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.