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Finding the Fourth Proportional to 6,096.40, 9,140.52 and 2,805.04

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Solution

The fourth proportional to 6,096.40, 9,140.52 and 2,805.04 is: 4,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.40 : 9,140.52 = 2,805.04 : x
  2. Step 2: Convert to fraction form
    6,096.40/9,140.52 = 2,805.04/x
  3. Step 3: Cross multiply
    6,096.40x = 9,140.52 × 2,805.04
  4. Step 4: Simplify right side
    6,096.40x = 25,639,524.22
  5. Step 5: Solve for x
    x = 25,639,524.22/6,096.40
  6. Step 6: Final answer
    x = 4,205.68

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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.