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Finding the Fourth Proportional to 9,214.81, 12,716.09 and 5,022.97

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Solution

The fourth proportional to 9,214.81, 12,716.09 and 5,022.97 is: 6,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.81 : 12,716.09 = 5,022.97 : x
  2. Step 2: Convert to fraction form
    9,214.81/12,716.09 = 5,022.97/x
  3. Step 3: Cross multiply
    9,214.81x = 12,716.09 × 5,022.97
  4. Step 4: Simplify right side
    9,214.81x = 63,872,538.59
  5. Step 5: Solve for x
    x = 63,872,538.59/9,214.81
  6. Step 6: Final answer
    x = 6,931.51

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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.