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Finding the Fourth Proportional to 9,178.80, 13,768.20 and 2,253.30

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Solution

The fourth proportional to 9,178.80, 13,768.20 and 2,253.30 is: 3,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.80 : 13,768.20 = 2,253.30 : x
  2. Step 2: Convert to fraction form
    9,178.80/13,768.20 = 2,253.30/x
  3. Step 3: Cross multiply
    9,178.80x = 13,768.20 × 2,253.30
  4. Step 4: Simplify right side
    9,178.80x = 31,023,885.06
  5. Step 5: Solve for x
    x = 31,023,885.06/9,178.80
  6. Step 6: Final answer
    x = 3,379.95

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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.