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Finding the Fourth Proportional to 7,021.52, 9,689.64 and 3,834.88

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Solution

The fourth proportional to 7,021.52, 9,689.64 and 3,834.88 is: 5,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.52 : 9,689.64 = 3,834.88 : x
  2. Step 2: Convert to fraction form
    7,021.52/9,689.64 = 3,834.88/x
  3. Step 3: Cross multiply
    7,021.52x = 9,689.64 × 3,834.88
  4. Step 4: Simplify right side
    7,021.52x = 37,158,606.64
  5. Step 5: Solve for x
    x = 37,158,606.64/7,021.52
  6. Step 6: Final answer
    x = 5,292.10

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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.