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Finding the Fourth Proportional to 7,034.82, 9,707.78 and 3,891.06

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Solution

The fourth proportional to 7,034.82, 9,707.78 and 3,891.06 is: 5,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.82 : 9,707.78 = 3,891.06 : x
  2. Step 2: Convert to fraction form
    7,034.82/9,707.78 = 3,891.06/x
  3. Step 3: Cross multiply
    7,034.82x = 9,707.78 × 3,891.06
  4. Step 4: Simplify right side
    7,034.82x = 37,773,554.45
  5. Step 5: Solve for x
    x = 37,773,554.45/7,034.82
  6. Step 6: Final answer
    x = 5,369.51

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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.