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Finding the Fourth Proportional to 9,046.42, 13,568.99 and 2,806.28

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Solution

The fourth proportional to 9,046.42, 13,568.99 and 2,806.28 is: 4,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.42 : 13,568.99 = 2,806.28 : x
  2. Step 2: Convert to fraction form
    9,046.42/13,568.99 = 2,806.28/x
  3. Step 3: Cross multiply
    9,046.42x = 13,568.99 × 2,806.28
  4. Step 4: Simplify right side
    9,046.42x = 38,078,310.10
  5. Step 5: Solve for x
    x = 38,078,310.10/9,046.42
  6. Step 6: Final answer
    x = 4,209.21

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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.