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Finding the Fourth Proportional to 7,091.16, 9,785.80 and 3,948.09

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Solution

The fourth proportional to 7,091.16, 9,785.80 and 3,948.09 is: 5,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.16 : 9,785.80 = 3,948.09 : x
  2. Step 2: Convert to fraction form
    7,091.16/9,785.80 = 3,948.09/x
  3. Step 3: Cross multiply
    7,091.16x = 9,785.80 × 3,948.09
  4. Step 4: Simplify right side
    7,091.16x = 38,635,209.25
  5. Step 5: Solve for x
    x = 38,635,209.25/7,091.16
  6. Step 6: Final answer
    x = 5,448.36

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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.