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Finding the Fourth Proportional to 9,200.52, 13,798.85 and 2,961.09

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Solution

The fourth proportional to 9,200.52, 13,798.85 and 2,961.09 is: 4,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.52 : 13,798.85 = 2,961.09 : x
  2. Step 2: Convert to fraction form
    9,200.52/13,798.85 = 2,961.09/x
  3. Step 3: Cross multiply
    9,200.52x = 13,798.85 × 2,961.09
  4. Step 4: Simplify right side
    9,200.52x = 40,859,621.94
  5. Step 5: Solve for x
    x = 40,859,621.94/9,200.52
  6. Step 6: Final answer
    x = 4,441.01

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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.