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Finding the Fourth Proportional to 6,966.94, 9,614.39 and 3,823.13

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Solution

The fourth proportional to 6,966.94, 9,614.39 and 3,823.13 is: 5,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.94 : 9,614.39 = 3,823.13 : x
  2. Step 2: Convert to fraction form
    6,966.94/9,614.39 = 3,823.13/x
  3. Step 3: Cross multiply
    6,966.94x = 9,614.39 × 3,823.13
  4. Step 4: Simplify right side
    6,966.94x = 36,756,995.65
  5. Step 5: Solve for x
    x = 36,756,995.65/6,966.94
  6. Step 6: Final answer
    x = 5,275.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.