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Finding the Fourth Proportional to 9,990.69, 14,976 and 3,412.37

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Solution

The fourth proportional to 9,990.69, 14,976 and 3,412.37 is: 5,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.69 : 14,976 = 3,412.37 : x
  2. Step 2: Convert to fraction form
    9,990.69/14,976 = 3,412.37/x
  3. Step 3: Cross multiply
    9,990.69x = 14,976 × 3,412.37
  4. Step 4: Simplify right side
    9,990.69x = 51,103,578.24
  5. Step 5: Solve for x
    x = 51,103,578.24/9,990.69
  6. Step 6: Final answer
    x = 5,115.12

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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.