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Finding the Fourth Proportional to 6,997.47, 9,656.52 and 3,853.66

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Solution

The fourth proportional to 6,997.47, 9,656.52 and 3,853.66 is: 5,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.47 : 9,656.52 = 3,853.66 : x
  2. Step 2: Convert to fraction form
    6,997.47/9,656.52 = 3,853.66/x
  3. Step 3: Cross multiply
    6,997.47x = 9,656.52 × 3,853.66
  4. Step 4: Simplify right side
    6,997.47x = 37,212,944.86
  5. Step 5: Solve for x
    x = 37,212,944.86/6,997.47
  6. Step 6: Final answer
    x = 5,318.06

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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.