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Finding the Fourth Proportional to 9,104.69, 13,659.10 and 2,780.15

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Solution

The fourth proportional to 9,104.69, 13,659.10 and 2,780.15 is: 4,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.69 : 13,659.10 = 2,780.15 : x
  2. Step 2: Convert to fraction form
    9,104.69/13,659.10 = 2,780.15/x
  3. Step 3: Cross multiply
    9,104.69x = 13,659.10 × 2,780.15
  4. Step 4: Simplify right side
    9,104.69x = 37,974,271.62
  5. Step 5: Solve for x
    x = 37,974,271.62/9,104.69
  6. Step 6: Final answer
    x = 4,170.85

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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.