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Finding the Fourth Proportional to 7,020.68, 9,688.67 and 3,834.10

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Solution

The fourth proportional to 7,020.68, 9,688.67 and 3,834.10 is: 5,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.68 : 9,688.67 = 3,834.10 : x
  2. Step 2: Convert to fraction form
    7,020.68/9,688.67 = 3,834.10/x
  3. Step 3: Cross multiply
    7,020.68x = 9,688.67 × 3,834.10
  4. Step 4: Simplify right side
    7,020.68x = 37,147,306.87
  5. Step 5: Solve for x
    x = 37,147,306.87/7,020.68
  6. Step 6: Final answer
    x = 5,291.13

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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.