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Finding the Fourth Proportional to 9,498.53, 14,239.08 and 3,650.74

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Solution

The fourth proportional to 9,498.53, 14,239.08 and 3,650.74 is: 5,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.53 : 14,239.08 = 3,650.74 : x
  2. Step 2: Convert to fraction form
    9,498.53/14,239.08 = 3,650.74/x
  3. Step 3: Cross multiply
    9,498.53x = 14,239.08 × 3,650.74
  4. Step 4: Simplify right side
    9,498.53x = 51,983,143.32
  5. Step 5: Solve for x
    x = 51,983,143.32/9,498.53
  6. Step 6: Final answer
    x = 5,472.76

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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.