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Finding the Fourth Proportional to 9,990.39, 14,992.27 and 4,147

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Solution

The fourth proportional to 9,990.39, 14,992.27 and 4,147 is: 6,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.39 : 14,992.27 = 4,147 : x
  2. Step 2: Convert to fraction form
    9,990.39/14,992.27 = 4,147/x
  3. Step 3: Cross multiply
    9,990.39x = 14,992.27 × 4,147
  4. Step 4: Simplify right side
    9,990.39x = 62,172,943.69
  5. Step 5: Solve for x
    x = 62,172,943.69/9,990.39
  6. Step 6: Final answer
    x = 6,223.27

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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.