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Finding the Fourth Proportional to 6,698.14, 9,241.34 and 3,865.12

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Solution

The fourth proportional to 6,698.14, 9,241.34 and 3,865.12 is: 5,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.14 : 9,241.34 = 3,865.12 : x
  2. Step 2: Convert to fraction form
    6,698.14/9,241.34 = 3,865.12/x
  3. Step 3: Cross multiply
    6,698.14x = 9,241.34 × 3,865.12
  4. Step 4: Simplify right side
    6,698.14x = 35,718,888.06
  5. Step 5: Solve for x
    x = 35,718,888.06/6,698.14
  6. Step 6: Final answer
    x = 5,332.66

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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.