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Finding the Fourth Proportional to 9,818.26, 14,727.47 and 3,578.48

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Solution

The fourth proportional to 9,818.26, 14,727.47 and 3,578.48 is: 5,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.26 : 14,727.47 = 3,578.48 : x
  2. Step 2: Convert to fraction form
    9,818.26/14,727.47 = 3,578.48/x
  3. Step 3: Cross multiply
    9,818.26x = 14,727.47 × 3,578.48
  4. Step 4: Simplify right side
    9,818.26x = 52,701,940.67
  5. Step 5: Solve for x
    x = 52,701,940.67/9,818.26
  6. Step 6: Final answer
    x = 5,367.75

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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.