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Finding the Fourth Proportional to 34,930.35, 52,403.22 and 9,969.84

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Solution

The fourth proportional to 34,930.35, 52,403.22 and 9,969.84 is: 14,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930.35 : 52,403.22 = 9,969.84 : x
  2. Step 2: Convert to fraction form
    34,930.35/52,403.22 = 9,969.84/x
  3. Step 3: Cross multiply
    34,930.35x = 52,403.22 × 9,969.84
  4. Step 4: Simplify right side
    34,930.35x = 522,451,718.88
  5. Step 5: Solve for x
    x = 522,451,718.88/34,930.35
  6. Step 6: Final answer
    x = 14,956.96

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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.