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Finding the Fourth Proportional to 7,021.42, 9,690.17 and 3,878.22

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Solution

The fourth proportional to 7,021.42, 9,690.17 and 3,878.22 is: 5,352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.42 : 9,690.17 = 3,878.22 : x
  2. Step 2: Convert to fraction form
    7,021.42/9,690.17 = 3,878.22/x
  3. Step 3: Cross multiply
    7,021.42x = 9,690.17 × 3,878.22
  4. Step 4: Simplify right side
    7,021.42x = 37,580,611.10
  5. Step 5: Solve for x
    x = 37,580,611.10/7,021.42
  6. Step 6: Final answer
    x = 5,352.28

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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.