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Finding the Fourth Proportional to 9,494.04, 14,241.54 and 4,227.78

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Solution

The fourth proportional to 9,494.04, 14,241.54 and 4,227.78 is: 6,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.04 : 14,241.54 = 4,227.78 : x
  2. Step 2: Convert to fraction form
    9,494.04/14,241.54 = 4,227.78/x
  3. Step 3: Cross multiply
    9,494.04x = 14,241.54 × 4,227.78
  4. Step 4: Simplify right side
    9,494.04x = 60,210,097.98
  5. Step 5: Solve for x
    x = 60,210,097.98/9,494.04
  6. Step 6: Final answer
    x = 6,341.88

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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.