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Finding the Fourth Proportional to 9,684, 14,503.04 and 6,161.44

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Solution

The fourth proportional to 9,684, 14,503.04 and 6,161.44 is: 9,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 14,503.04 = 6,161.44 : x
  2. Step 2: Convert to fraction form
    9,684/14,503.04 = 6,161.44/x
  3. Step 3: Cross multiply
    9,684x = 14,503.04 × 6,161.44
  4. Step 4: Simplify right side
    9,684x = 89,359,610.78
  5. Step 5: Solve for x
    x = 89,359,610.78/9,684
  6. Step 6: Final answer
    x = 9,227.55

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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.