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Finding the Fourth Proportional to 6,911.91, 9,535.40 and 4,672.97

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Solution

The fourth proportional to 6,911.91, 9,535.40 and 4,672.97 is: 6,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.91 : 9,535.40 = 4,672.97 : x
  2. Step 2: Convert to fraction form
    6,911.91/9,535.40 = 4,672.97/x
  3. Step 3: Cross multiply
    6,911.91x = 9,535.40 × 4,672.97
  4. Step 4: Simplify right side
    6,911.91x = 44,558,673.66
  5. Step 5: Solve for x
    x = 44,558,673.66/6,911.91
  6. Step 6: Final answer
    x = 6,446.65

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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.