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Finding the Fourth Proportional to 9,214.97, 12,718.42 and 5,631.53

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Solution

The fourth proportional to 9,214.97, 12,718.42 and 5,631.53 is: 7,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.97 : 12,718.42 = 5,631.53 : x
  2. Step 2: Convert to fraction form
    9,214.97/12,718.42 = 5,631.53/x
  3. Step 3: Cross multiply
    9,214.97x = 12,718.42 × 5,631.53
  4. Step 4: Simplify right side
    9,214.97x = 71,624,086.11
  5. Step 5: Solve for x
    x = 71,624,086.11/9,214.97
  6. Step 6: Final answer
    x = 7,772.58

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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.