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Finding the Fourth Proportional to 6,995.67, 9,652.87 and 4,346.66

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Solution

The fourth proportional to 6,995.67, 9,652.87 and 4,346.66 is: 5,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.67 : 9,652.87 = 4,346.66 : x
  2. Step 2: Convert to fraction form
    6,995.67/9,652.87 = 4,346.66/x
  3. Step 3: Cross multiply
    6,995.67x = 9,652.87 × 4,346.66
  4. Step 4: Simplify right side
    6,995.67x = 41,957,773.48
  5. Step 5: Solve for x
    x = 41,957,773.48/6,995.67
  6. Step 6: Final answer
    x = 5,997.68

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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.