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Finding the Fourth Proportional to 9,217.14, 12,716.04 and 5,674.20

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Solution

The fourth proportional to 9,217.14, 12,716.04 and 5,674.20 is: 7,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.14 : 12,716.04 = 5,674.20 : x
  2. Step 2: Convert to fraction form
    9,217.14/12,716.04 = 5,674.20/x
  3. Step 3: Cross multiply
    9,217.14x = 12,716.04 × 5,674.20
  4. Step 4: Simplify right side
    9,217.14x = 72,153,354.17
  5. Step 5: Solve for x
    x = 72,153,354.17/9,217.14
  6. Step 6: Final answer
    x = 7,828.17

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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.