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Finding the Fourth Proportional to 7,106.46, 9,806.31 and 3,961.98

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Solution

The fourth proportional to 7,106.46, 9,806.31 and 3,961.98 is: 5,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.46 : 9,806.31 = 3,961.98 : x
  2. Step 2: Convert to fraction form
    7,106.46/9,806.31 = 3,961.98/x
  3. Step 3: Cross multiply
    7,106.46x = 9,806.31 × 3,961.98
  4. Step 4: Simplify right side
    7,106.46x = 38,852,404.09
  5. Step 5: Solve for x
    x = 38,852,404.09/7,106.46
  6. Step 6: Final answer
    x = 5,467.20

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