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Finding the Fourth Proportional to 9,841.07, 14,764.11 and 3,269.09

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Solution

The fourth proportional to 9,841.07, 14,764.11 and 3,269.09 is: 4,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.07 : 14,764.11 = 3,269.09 : x
  2. Step 2: Convert to fraction form
    9,841.07/14,764.11 = 3,269.09/x
  3. Step 3: Cross multiply
    9,841.07x = 14,764.11 × 3,269.09
  4. Step 4: Simplify right side
    9,841.07x = 48,265,204.36
  5. Step 5: Solve for x
    x = 48,265,204.36/9,841.07
  6. Step 6: Final answer
    x = 4,904.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.