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Finding the Fourth Proportional to 7,010.95, 9,674.97 and 3,867.14

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Solution

The fourth proportional to 7,010.95, 9,674.97 and 3,867.14 is: 5,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.95 : 9,674.97 = 3,867.14 : x
  2. Step 2: Convert to fraction form
    7,010.95/9,674.97 = 3,867.14/x
  3. Step 3: Cross multiply
    7,010.95x = 9,674.97 × 3,867.14
  4. Step 4: Simplify right side
    7,010.95x = 37,414,463.49
  5. Step 5: Solve for x
    x = 37,414,463.49/7,010.95
  6. Step 6: Final answer
    x = 5,336.58

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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.