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Finding the Fourth Proportional to 9,149.09, 13,720.19 and 3,599.40

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Solution

The fourth proportional to 9,149.09, 13,720.19 and 3,599.40 is: 5,397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.09 : 13,720.19 = 3,599.40 : x
  2. Step 2: Convert to fraction form
    9,149.09/13,720.19 = 3,599.40/x
  3. Step 3: Cross multiply
    9,149.09x = 13,720.19 × 3,599.40
  4. Step 4: Simplify right side
    9,149.09x = 49,384,460.88
  5. Step 5: Solve for x
    x = 49,384,460.88/9,149.09
  6. Step 6: Final answer
    x = 5,397.74

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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.