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Finding the Fourth Proportional to 9,125.34, 13,688 and 2,199.84

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Solution

The fourth proportional to 9,125.34, 13,688 and 2,199.84 is: 3,299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.34 : 13,688 = 2,199.84 : x
  2. Step 2: Convert to fraction form
    9,125.34/13,688 = 2,199.84/x
  3. Step 3: Cross multiply
    9,125.34x = 13,688 × 2,199.84
  4. Step 4: Simplify right side
    9,125.34x = 30,111,409.92
  5. Step 5: Solve for x
    x = 30,111,409.92/9,125.34
  6. Step 6: Final answer
    x = 3,299.76

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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.