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Finding the Fourth Proportional to 9,214.31, 12,715.79 and 5,022.56

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Solution

The fourth proportional to 9,214.31, 12,715.79 and 5,022.56 is: 6,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.31 : 12,715.79 = 5,022.56 : x
  2. Step 2: Convert to fraction form
    9,214.31/12,715.79 = 5,022.56/x
  3. Step 3: Cross multiply
    9,214.31x = 12,715.79 × 5,022.56
  4. Step 4: Simplify right side
    9,214.31x = 63,865,824.90
  5. Step 5: Solve for x
    x = 63,865,824.90/9,214.31
  6. Step 6: Final answer
    x = 6,931.15

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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.