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Finding the Fourth Proportional to 6,931.52, 9,564.96 and 3,946.78

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Solution

The fourth proportional to 6,931.52, 9,564.96 and 3,946.78 is: 5,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.52 : 9,564.96 = 3,946.78 : x
  2. Step 2: Convert to fraction form
    6,931.52/9,564.96 = 3,946.78/x
  3. Step 3: Cross multiply
    6,931.52x = 9,564.96 × 3,946.78
  4. Step 4: Simplify right side
    6,931.52x = 37,750,754.68
  5. Step 5: Solve for x
    x = 37,750,754.68/6,931.52
  6. Step 6: Final answer
    x = 5,446.24

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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.