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Finding the Fourth Proportional to 9,125.52, 13,688.24 and 2,200

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Solution

The fourth proportional to 9,125.52, 13,688.24 and 2,200 is: 3,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.52 : 13,688.24 = 2,200 : x
  2. Step 2: Convert to fraction form
    9,125.52/13,688.24 = 2,200/x
  3. Step 3: Cross multiply
    9,125.52x = 13,688.24 × 2,200
  4. Step 4: Simplify right side
    9,125.52x = 30,114,128
  5. Step 5: Solve for x
    x = 30,114,128/9,125.52
  6. Step 6: Final answer
    x = 3,299.99

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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.