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Finding the Fourth Proportional to 7,063.06, 9,747 and 3,876.41

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Solution

The fourth proportional to 7,063.06, 9,747 and 3,876.41 is: 5,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.06 : 9,747 = 3,876.41 : x
  2. Step 2: Convert to fraction form
    7,063.06/9,747 = 3,876.41/x
  3. Step 3: Cross multiply
    7,063.06x = 9,747 × 3,876.41
  4. Step 4: Simplify right side
    7,063.06x = 37,783,368.27
  5. Step 5: Solve for x
    x = 37,783,368.27/7,063.06
  6. Step 6: Final answer
    x = 5,349.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.