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Finding the Fourth Proportional to 9,125.34, 13,687.98 and 2,199.84

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Solution

The fourth proportional to 9,125.34, 13,687.98 and 2,199.84 is: 3,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.34 : 13,687.98 = 2,199.84 : x
  2. Step 2: Convert to fraction form
    9,125.34/13,687.98 = 2,199.84/x
  3. Step 3: Cross multiply
    9,125.34x = 13,687.98 × 2,199.84
  4. Step 4: Simplify right side
    9,125.34x = 30,111,365.92
  5. Step 5: Solve for x
    x = 30,111,365.92/9,125.34
  6. Step 6: Final answer
    x = 3,299.75

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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.