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Finding the Fourth Proportional to 6,931.42, 9,564.02 and 3,947.19

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Solution

The fourth proportional to 6,931.42, 9,564.02 and 3,947.19 is: 5,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.42 : 9,564.02 = 3,947.19 : x
  2. Step 2: Convert to fraction form
    6,931.42/9,564.02 = 3,947.19/x
  3. Step 3: Cross multiply
    6,931.42x = 9,564.02 × 3,947.19
  4. Step 4: Simplify right side
    6,931.42x = 37,751,052.75
  5. Step 5: Solve for x
    x = 37,751,052.75/6,931.42
  6. Step 6: Final answer
    x = 5,446.36

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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.