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Finding the Fourth Proportional to 9,304.23, 12,838.02 and 5,944.44

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Solution

The fourth proportional to 9,304.23, 12,838.02 and 5,944.44 is: 8,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.23 : 12,838.02 = 5,944.44 : x
  2. Step 2: Convert to fraction form
    9,304.23/12,838.02 = 5,944.44/x
  3. Step 3: Cross multiply
    9,304.23x = 12,838.02 × 5,944.44
  4. Step 4: Simplify right side
    9,304.23x = 76,314,839.61
  5. Step 5: Solve for x
    x = 76,314,839.61/9,304.23
  6. Step 6: Final answer
    x = 8,202.17

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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.