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Finding the Fourth Proportional to 9,296.20, 12,817.91 and 6,934.24

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Solution

The fourth proportional to 9,296.20, 12,817.91 and 6,934.24 is: 9,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.20 : 12,817.91 = 6,934.24 : x
  2. Step 2: Convert to fraction form
    9,296.20/12,817.91 = 6,934.24/x
  3. Step 3: Cross multiply
    9,296.20x = 12,817.91 × 6,934.24
  4. Step 4: Simplify right side
    9,296.20x = 88,882,382.81
  5. Step 5: Solve for x
    x = 88,882,382.81/9,296.20
  6. Step 6: Final answer
    x = 9,561.16

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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.