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Finding the Fourth Proportional to 9,498.14, 14,243.06 and 3,650.63

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Solution

The fourth proportional to 9,498.14, 14,243.06 and 3,650.63 is: 5,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.14 : 14,243.06 = 3,650.63 : x
  2. Step 2: Convert to fraction form
    9,498.14/14,243.06 = 3,650.63/x
  3. Step 3: Cross multiply
    9,498.14x = 14,243.06 × 3,650.63
  4. Step 4: Simplify right side
    9,498.14x = 51,996,052.66
  5. Step 5: Solve for x
    x = 51,996,052.66/9,498.14
  6. Step 6: Final answer
    x = 5,474.34

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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.