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Finding the Fourth Proportional to 9,204.17, 13,811.04 and 5,046.14

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Solution

The fourth proportional to 9,204.17, 13,811.04 and 5,046.14 is: 7,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.17 : 13,811.04 = 5,046.14 : x
  2. Step 2: Convert to fraction form
    9,204.17/13,811.04 = 5,046.14/x
  3. Step 3: Cross multiply
    9,204.17x = 13,811.04 × 5,046.14
  4. Step 4: Simplify right side
    9,204.17x = 69,692,441.39
  5. Step 5: Solve for x
    x = 69,692,441.39/9,204.17
  6. Step 6: Final answer
    x = 7,571.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.