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Finding the Fourth Proportional to 7,067.91, 9,752.58 and 4,084.14

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Solution

The fourth proportional to 7,067.91, 9,752.58 and 4,084.14 is: 5,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.91 : 9,752.58 = 4,084.14 : x
  2. Step 2: Convert to fraction form
    7,067.91/9,752.58 = 4,084.14/x
  3. Step 3: Cross multiply
    7,067.91x = 9,752.58 × 4,084.14
  4. Step 4: Simplify right side
    7,067.91x = 39,830,902.08
  5. Step 5: Solve for x
    x = 39,830,902.08/7,067.91
  6. Step 6: Final answer
    x = 5,635.46

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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.