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Finding the Fourth Proportional to 9,721.53, 14,578.70 and 3,479.85

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Solution

The fourth proportional to 9,721.53, 14,578.70 and 3,479.85 is: 5,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.53 : 14,578.70 = 3,479.85 : x
  2. Step 2: Convert to fraction form
    9,721.53/14,578.70 = 3,479.85/x
  3. Step 3: Cross multiply
    9,721.53x = 14,578.70 × 3,479.85
  4. Step 4: Simplify right side
    9,721.53x = 50,731,671.80
  5. Step 5: Solve for x
    x = 50,731,671.80/9,721.53
  6. Step 6: Final answer
    x = 5,218.49

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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.