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Finding the Fourth Proportional to 6,852.50, 9,452.66 and 4,610.42

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Solution

The fourth proportional to 6,852.50, 9,452.66 and 4,610.42 is: 6,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.50 : 9,452.66 = 4,610.42 : x
  2. Step 2: Convert to fraction form
    6,852.50/9,452.66 = 4,610.42/x
  3. Step 3: Cross multiply
    6,852.50x = 9,452.66 × 4,610.42
  4. Step 4: Simplify right side
    6,852.50x = 43,580,732.72
  5. Step 5: Solve for x
    x = 43,580,732.72/6,852.50
  6. Step 6: Final answer
    x = 6,359.83

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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.