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Finding the Fourth Proportional to 7,021, 9,689.12 and 3,877.12

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Solution

The fourth proportional to 7,021, 9,689.12 and 3,877.12 is: 5,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021 : 9,689.12 = 3,877.12 : x
  2. Step 2: Convert to fraction form
    7,021/9,689.12 = 3,877.12/x
  3. Step 3: Cross multiply
    7,021x = 9,689.12 × 3,877.12
  4. Step 4: Simplify right side
    7,021x = 37,565,880.93
  5. Step 5: Solve for x
    x = 37,565,880.93/7,021
  6. Step 6: Final answer
    x = 5,350.50

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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.