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Finding the Fourth Proportional to 7,091.35, 9,786.06 and 3,948.28

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Solution

The fourth proportional to 7,091.35, 9,786.06 and 3,948.28 is: 5,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.35 : 9,786.06 = 3,948.28 : x
  2. Step 2: Convert to fraction form
    7,091.35/9,786.06 = 3,948.28/x
  3. Step 3: Cross multiply
    7,091.35x = 9,786.06 × 3,948.28
  4. Step 4: Simplify right side
    7,091.35x = 38,638,065.71
  5. Step 5: Solve for x
    x = 38,638,065.71/7,091.35
  6. Step 6: Final answer
    x = 5,448.62

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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.