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Finding the Fourth Proportional to 9,214.69, 12,716.24 and 5,022.94

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Solution

The fourth proportional to 9,214.69, 12,716.24 and 5,022.94 is: 6,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.69 : 12,716.24 = 5,022.94 : x
  2. Step 2: Convert to fraction form
    9,214.69/12,716.24 = 5,022.94/x
  3. Step 3: Cross multiply
    9,214.69x = 12,716.24 × 5,022.94
  4. Step 4: Simplify right side
    9,214.69x = 63,872,910.55
  5. Step 5: Solve for x
    x = 63,872,910.55/9,214.69
  6. Step 6: Final answer
    x = 6,931.64

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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.