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Finding the Fourth Proportional to 9,247.88, 13,871.82 and 3,091.88

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Solution

The fourth proportional to 9,247.88, 13,871.82 and 3,091.88 is: 4,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.88 : 13,871.82 = 3,091.88 : x
  2. Step 2: Convert to fraction form
    9,247.88/13,871.82 = 3,091.88/x
  3. Step 3: Cross multiply
    9,247.88x = 13,871.82 × 3,091.88
  4. Step 4: Simplify right side
    9,247.88x = 42,889,933.46
  5. Step 5: Solve for x
    x = 42,889,933.46/9,247.88
  6. Step 6: Final answer
    x = 4,637.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.