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Finding the Fourth Proportional to 9,930.50, 14,895.77 and 4,229.99

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Solution

The fourth proportional to 9,930.50, 14,895.77 and 4,229.99 is: 6,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.50 : 14,895.77 = 4,229.99 : x
  2. Step 2: Convert to fraction form
    9,930.50/14,895.77 = 4,229.99/x
  3. Step 3: Cross multiply
    9,930.50x = 14,895.77 × 4,229.99
  4. Step 4: Simplify right side
    9,930.50x = 63,008,958.14
  5. Step 5: Solve for x
    x = 63,008,958.14/9,930.50
  6. Step 6: Final answer
    x = 6,344.99

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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.