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Finding the Fourth Proportional to 9,478.98, 14,212.40 and 3,936.15

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Solution

The fourth proportional to 9,478.98, 14,212.40 and 3,936.15 is: 5,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.98 : 14,212.40 = 3,936.15 : x
  2. Step 2: Convert to fraction form
    9,478.98/14,212.40 = 3,936.15/x
  3. Step 3: Cross multiply
    9,478.98x = 14,212.40 × 3,936.15
  4. Step 4: Simplify right side
    9,478.98x = 55,942,118.58
  5. Step 5: Solve for x
    x = 55,942,118.58/9,478.98
  6. Step 6: Final answer
    x = 5,901.70

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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.