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Finding the Fourth Proportional to 6,808.61, 9,374.37 and 6,185.75

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Solution

The fourth proportional to 6,808.61, 9,374.37 and 6,185.75 is: 8,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.61 : 9,374.37 = 6,185.75 : x
  2. Step 2: Convert to fraction form
    6,808.61/9,374.37 = 6,185.75/x
  3. Step 3: Cross multiply
    6,808.61x = 9,374.37 × 6,185.75
  4. Step 4: Simplify right side
    6,808.61x = 57,987,462.36
  5. Step 5: Solve for x
    x = 57,987,462.36/6,808.61
  6. Step 6: Final answer
    x = 8,516.79

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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.