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Finding the Fourth Proportional to 6,680.25, 9,197.65 and 5,883.03

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Solution

The fourth proportional to 6,680.25, 9,197.65 and 5,883.03 is: 8,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.25 : 9,197.65 = 5,883.03 : x
  2. Step 2: Convert to fraction form
    6,680.25/9,197.65 = 5,883.03/x
  3. Step 3: Cross multiply
    6,680.25x = 9,197.65 × 5,883.03
  4. Step 4: Simplify right side
    6,680.25x = 54,110,058.23
  5. Step 5: Solve for x
    x = 54,110,058.23/6,680.25
  6. Step 6: Final answer
    x = 8,100.01

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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.