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Finding the Fourth Proportional to 7,113.20, 9,816.33 and 3,926.57

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Solution

The fourth proportional to 7,113.20, 9,816.33 and 3,926.57 is: 5,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.20 : 9,816.33 = 3,926.57 : x
  2. Step 2: Convert to fraction form
    7,113.20/9,816.33 = 3,926.57/x
  3. Step 3: Cross multiply
    7,113.20x = 9,816.33 × 3,926.57
  4. Step 4: Simplify right side
    7,113.20x = 38,544,457.81
  5. Step 5: Solve for x
    x = 38,544,457.81/7,113.20
  6. Step 6: Final answer
    x = 5,418.73

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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.