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Finding the Fourth Proportional to 6,934.60, 9,569.10 and 3,951.10

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Solution

The fourth proportional to 6,934.60, 9,569.10 and 3,951.10 is: 5,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.60 : 9,569.10 = 3,951.10 : x
  2. Step 2: Convert to fraction form
    6,934.60/9,569.10 = 3,951.10/x
  3. Step 3: Cross multiply
    6,934.60x = 9,569.10 × 3,951.10
  4. Step 4: Simplify right side
    6,934.60x = 37,808,471.01
  5. Step 5: Solve for x
    x = 37,808,471.01/6,934.60
  6. Step 6: Final answer
    x = 5,452.15

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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.