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Finding the Fourth Proportional to 9,214.72, 12,716.24 and 5,022.88

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Solution

The fourth proportional to 9,214.72, 12,716.24 and 5,022.88 is: 6,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.72 : 12,716.24 = 5,022.88 : x
  2. Step 2: Convert to fraction form
    9,214.72/12,716.24 = 5,022.88/x
  3. Step 3: Cross multiply
    9,214.72x = 12,716.24 × 5,022.88
  4. Step 4: Simplify right side
    9,214.72x = 63,872,147.57
  5. Step 5: Solve for x
    x = 63,872,147.57/9,214.72
  6. Step 6: Final answer
    x = 6,931.53

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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.