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Finding the Fourth Proportional to 7,021.50, 9,689.54 and 3,877.62

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Solution

The fourth proportional to 7,021.50, 9,689.54 and 3,877.62 is: 5,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.50 : 9,689.54 = 3,877.62 : x
  2. Step 2: Convert to fraction form
    7,021.50/9,689.54 = 3,877.62/x
  3. Step 3: Cross multiply
    7,021.50x = 9,689.54 × 3,877.62
  4. Step 4: Simplify right side
    7,021.50x = 37,572,354.09
  5. Step 5: Solve for x
    x = 37,572,354.09/7,021.50
  6. Step 6: Final answer
    x = 5,351.04

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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.