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Finding the Fourth Proportional to 9,694.13, 13,378.19 and 5,718.65

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Solution

The fourth proportional to 9,694.13, 13,378.19 and 5,718.65 is: 7,891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.13 : 13,378.19 = 5,718.65 : x
  2. Step 2: Convert to fraction form
    9,694.13/13,378.19 = 5,718.65/x
  3. Step 3: Cross multiply
    9,694.13x = 13,378.19 × 5,718.65
  4. Step 4: Simplify right side
    9,694.13x = 76,505,090.76
  5. Step 5: Solve for x
    x = 76,505,090.76/9,694.13
  6. Step 6: Final answer
    x = 7,891.90

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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.