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Finding the Fourth Proportional to 7,067.58, 9,757.35 and 4,416.36

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Solution

The fourth proportional to 7,067.58, 9,757.35 and 4,416.36 is: 6,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.58 : 9,757.35 = 4,416.36 : x
  2. Step 2: Convert to fraction form
    7,067.58/9,757.35 = 4,416.36/x
  3. Step 3: Cross multiply
    7,067.58x = 9,757.35 × 4,416.36
  4. Step 4: Simplify right side
    7,067.58x = 43,091,970.25
  5. Step 5: Solve for x
    x = 43,091,970.25/7,067.58
  6. Step 6: Final answer
    x = 6,097.13

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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.