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Finding the Fourth Proportional to 7,106.07, 9,806.09 and 4,122.03

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Solution

The fourth proportional to 7,106.07, 9,806.09 and 4,122.03 is: 5,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.07 : 9,806.09 = 4,122.03 : x
  2. Step 2: Convert to fraction form
    7,106.07/9,806.09 = 4,122.03/x
  3. Step 3: Cross multiply
    7,106.07x = 9,806.09 × 4,122.03
  4. Step 4: Simplify right side
    7,106.07x = 40,420,976.55
  5. Step 5: Solve for x
    x = 40,420,976.55/7,106.07
  6. Step 6: Final answer
    x = 5,688.23

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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.