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Finding the Fourth Proportional to 6,524.37, 9,003.66 and 3,871.71

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Solution

The fourth proportional to 6,524.37, 9,003.66 and 3,871.71 is: 5,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.37 : 9,003.66 = 3,871.71 : x
  2. Step 2: Convert to fraction form
    6,524.37/9,003.66 = 3,871.71/x
  3. Step 3: Cross multiply
    6,524.37x = 9,003.66 × 3,871.71
  4. Step 4: Simplify right side
    6,524.37x = 34,859,560.46
  5. Step 5: Solve for x
    x = 34,859,560.46/6,524.37
  6. Step 6: Final answer
    x = 5,342.98

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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.