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Finding the Fourth Proportional to 7,021.56, 9,689.72 and 3,834.89

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Solution

The fourth proportional to 7,021.56, 9,689.72 and 3,834.89 is: 5,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.56 : 9,689.72 = 3,834.89 : x
  2. Step 2: Convert to fraction form
    7,021.56/9,689.72 = 3,834.89/x
  3. Step 3: Cross multiply
    7,021.56x = 9,689.72 × 3,834.89
  4. Step 4: Simplify right side
    7,021.56x = 37,158,942.71
  5. Step 5: Solve for x
    x = 37,158,942.71/7,021.56
  6. Step 6: Final answer
    x = 5,292.12

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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.