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Finding the Fourth Proportional to 6,707.66, 9,266.36 and 4,948.97

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Solution

The fourth proportional to 6,707.66, 9,266.36 and 4,948.97 is: 6,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.66 : 9,266.36 = 4,948.97 : x
  2. Step 2: Convert to fraction form
    6,707.66/9,266.36 = 4,948.97/x
  3. Step 3: Cross multiply
    6,707.66x = 9,266.36 × 4,948.97
  4. Step 4: Simplify right side
    6,707.66x = 45,858,866.57
  5. Step 5: Solve for x
    x = 45,858,866.57/6,707.66
  6. Step 6: Final answer
    x = 6,836.80

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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.