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Finding the Fourth Proportional to 7,106.96, 9,806.81 and 4,122.18

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Solution

The fourth proportional to 7,106.96, 9,806.81 and 4,122.18 is: 5,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.96 : 9,806.81 = 4,122.18 : x
  2. Step 2: Convert to fraction form
    7,106.96/9,806.81 = 4,122.18/x
  3. Step 3: Cross multiply
    7,106.96x = 9,806.81 × 4,122.18
  4. Step 4: Simplify right side
    7,106.96x = 40,425,415.43
  5. Step 5: Solve for x
    x = 40,425,415.43/7,106.96
  6. Step 6: Final answer
    x = 5,688.14

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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.