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Finding the Fourth Proportional to 6,997.83, 9,656.97 and 3,854.01

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Solution

The fourth proportional to 6,997.83, 9,656.97 and 3,854.01 is: 5,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.83 : 9,656.97 = 3,854.01 : x
  2. Step 2: Convert to fraction form
    6,997.83/9,656.97 = 3,854.01/x
  3. Step 3: Cross multiply
    6,997.83x = 9,656.97 × 3,854.01
  4. Step 4: Simplify right side
    6,997.83x = 37,218,058.95
  5. Step 5: Solve for x
    x = 37,218,058.95/6,997.83
  6. Step 6: Final answer
    x = 5,318.51

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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.