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Finding the Fourth Proportional to 9,474.47, 14,213.37 and 3,235.14

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Solution

The fourth proportional to 9,474.47, 14,213.37 and 3,235.14 is: 4,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.47 : 14,213.37 = 3,235.14 : x
  2. Step 2: Convert to fraction form
    9,474.47/14,213.37 = 3,235.14/x
  3. Step 3: Cross multiply
    9,474.47x = 14,213.37 × 3,235.14
  4. Step 4: Simplify right side
    9,474.47x = 45,982,253.95
  5. Step 5: Solve for x
    x = 45,982,253.95/9,474.47
  6. Step 6: Final answer
    x = 4,853.28

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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.