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Finding the Fourth Proportional to 9,720.12, 14,578.56 and 3,478.80

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Solution

The fourth proportional to 9,720.12, 14,578.56 and 3,478.80 is: 5,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.12 : 14,578.56 = 3,478.80 : x
  2. Step 2: Convert to fraction form
    9,720.12/14,578.56 = 3,478.80/x
  3. Step 3: Cross multiply
    9,720.12x = 14,578.56 × 3,478.80
  4. Step 4: Simplify right side
    9,720.12x = 50,715,894.53
  5. Step 5: Solve for x
    x = 50,715,894.53/9,720.12
  6. Step 6: Final answer
    x = 5,217.62

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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.