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Finding the Fourth Proportional to 9,923.65, 13,696.97 and 6,742.17

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Solution

The fourth proportional to 9,923.65, 13,696.97 and 6,742.17 is: 9,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.65 : 13,696.97 = 6,742.17 : x
  2. Step 2: Convert to fraction form
    9,923.65/13,696.97 = 6,742.17/x
  3. Step 3: Cross multiply
    9,923.65x = 13,696.97 × 6,742.17
  4. Step 4: Simplify right side
    9,923.65x = 92,347,266.51
  5. Step 5: Solve for x
    x = 92,347,266.51/9,923.65
  6. Step 6: Final answer
    x = 9,305.78

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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.