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Finding the Fourth Proportional to 6,946.92, 10,397.30 and 5,294.12

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Solution

The fourth proportional to 6,946.92, 10,397.30 and 5,294.12 is: 7,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.92 : 10,397.30 = 5,294.12 : x
  2. Step 2: Convert to fraction form
    6,946.92/10,397.30 = 5,294.12/x
  3. Step 3: Cross multiply
    6,946.92x = 10,397.30 × 5,294.12
  4. Step 4: Simplify right side
    6,946.92x = 55,044,475.42
  5. Step 5: Solve for x
    x = 55,044,475.42/6,946.92
  6. Step 6: Final answer
    x = 7,923.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.