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Finding the Fourth Proportional to 7,021.49, 9,689.67 and 3,834.81

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Solution

The fourth proportional to 7,021.49, 9,689.67 and 3,834.81 is: 5,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.49 : 9,689.67 = 3,834.81 : x
  2. Step 2: Convert to fraction form
    7,021.49/9,689.67 = 3,834.81/x
  3. Step 3: Cross multiply
    7,021.49x = 9,689.67 × 3,834.81
  4. Step 4: Simplify right side
    7,021.49x = 37,158,043.41
  5. Step 5: Solve for x
    x = 37,158,043.41/7,021.49
  6. Step 6: Final answer
    x = 5,292.05

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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.