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Finding the Fourth Proportional to 7,020.90, 9,688.87 and 3,834.23

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Solution

The fourth proportional to 7,020.90, 9,688.87 and 3,834.23 is: 5,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.90 : 9,688.87 = 3,834.23 : x
  2. Step 2: Convert to fraction form
    7,020.90/9,688.87 = 3,834.23/x
  3. Step 3: Cross multiply
    7,020.90x = 9,688.87 × 3,834.23
  4. Step 4: Simplify right side
    7,020.90x = 37,149,288.40
  5. Step 5: Solve for x
    x = 37,149,288.40/7,020.90
  6. Step 6: Final answer
    x = 5,291.24

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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.