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Finding the Fourth Proportional to 7,021.98, 9,690.35 and 3,878.17

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Solution

The fourth proportional to 7,021.98, 9,690.35 and 3,878.17 is: 5,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.98 : 9,690.35 = 3,878.17 : x
  2. Step 2: Convert to fraction form
    7,021.98/9,690.35 = 3,878.17/x
  3. Step 3: Cross multiply
    7,021.98x = 9,690.35 × 3,878.17
  4. Step 4: Simplify right side
    7,021.98x = 37,580,824.66
  5. Step 5: Solve for x
    x = 37,580,824.66/7,021.98
  6. Step 6: Final answer
    x = 5,351.88

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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.