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Finding the Fourth Proportional to 9,685.20, 14,530.22 and 2,759.70

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Solution

The fourth proportional to 9,685.20, 14,530.22 and 2,759.70 is: 4,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.20 : 14,530.22 = 2,759.70 : x
  2. Step 2: Convert to fraction form
    9,685.20/14,530.22 = 2,759.70/x
  3. Step 3: Cross multiply
    9,685.20x = 14,530.22 × 2,759.70
  4. Step 4: Simplify right side
    9,685.20x = 40,099,048.13
  5. Step 5: Solve for x
    x = 40,099,048.13/9,685.20
  6. Step 6: Final answer
    x = 4,140.24

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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.