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Finding the Fourth Proportional to 6,680.06, 9,218.41 and 3,695.87

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Solution

The fourth proportional to 6,680.06, 9,218.41 and 3,695.87 is: 5,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.06 : 9,218.41 = 3,695.87 : x
  2. Step 2: Convert to fraction form
    6,680.06/9,218.41 = 3,695.87/x
  3. Step 3: Cross multiply
    6,680.06x = 9,218.41 × 3,695.87
  4. Step 4: Simplify right side
    6,680.06x = 34,070,058.77
  5. Step 5: Solve for x
    x = 34,070,058.77/6,680.06
  6. Step 6: Final answer
    x = 5,100.26

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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.