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Finding the Fourth Proportional to 9,920.69, 14,949.30 and 8,204.29

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Solution

The fourth proportional to 9,920.69, 14,949.30 and 8,204.29 is: 12,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.69 : 14,949.30 = 8,204.29 : x
  2. Step 2: Convert to fraction form
    9,920.69/14,949.30 = 8,204.29/x
  3. Step 3: Cross multiply
    9,920.69x = 14,949.30 × 8,204.29
  4. Step 4: Simplify right side
    9,920.69x = 122,648,451.77
  5. Step 5: Solve for x
    x = 122,648,451.77/9,920.69
  6. Step 6: Final answer
    x = 12,362.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.