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Finding the Fourth Proportional to 6,101.52, 9,146.80 and 2,205.04

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Solution

The fourth proportional to 6,101.52, 9,146.80 and 2,205.04 is: 3,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.52 : 9,146.80 = 2,205.04 : x
  2. Step 2: Convert to fraction form
    6,101.52/9,146.80 = 2,205.04/x
  3. Step 3: Cross multiply
    6,101.52x = 9,146.80 × 2,205.04
  4. Step 4: Simplify right side
    6,101.52x = 20,169,059.87
  5. Step 5: Solve for x
    x = 20,169,059.87/6,101.52
  6. Step 6: Final answer
    x = 3,305.58

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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.