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Finding the Fourth Proportional to 6,774.06, 9,349.66 and 4,122.33

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Solution

The fourth proportional to 6,774.06, 9,349.66 and 4,122.33 is: 5,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.06 : 9,349.66 = 4,122.33 : x
  2. Step 2: Convert to fraction form
    6,774.06/9,349.66 = 4,122.33/x
  3. Step 3: Cross multiply
    6,774.06x = 9,349.66 × 4,122.33
  4. Step 4: Simplify right side
    6,774.06x = 38,542,383.91
  5. Step 5: Solve for x
    x = 38,542,383.91/6,774.06
  6. Step 6: Final answer
    x = 5,689.70

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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.