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Finding the Fourth Proportional to 9,769.17, 14,655.57 and 3,195.71

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Solution

The fourth proportional to 9,769.17, 14,655.57 and 3,195.71 is: 4,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.17 : 14,655.57 = 3,195.71 : x
  2. Step 2: Convert to fraction form
    9,769.17/14,655.57 = 3,195.71/x
  3. Step 3: Cross multiply
    9,769.17x = 14,655.57 × 3,195.71
  4. Step 4: Simplify right side
    9,769.17x = 46,834,878.33
  5. Step 5: Solve for x
    x = 46,834,878.33/9,769.17
  6. Step 6: Final answer
    x = 4,794.15

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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.