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Finding the Fourth Proportional to 6,201.58, 9,294.46 and 2,907.42

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Solution

The fourth proportional to 6,201.58, 9,294.46 and 2,907.42 is: 4,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.58 : 9,294.46 = 2,907.42 : x
  2. Step 2: Convert to fraction form
    6,201.58/9,294.46 = 2,907.42/x
  3. Step 3: Cross multiply
    6,201.58x = 9,294.46 × 2,907.42
  4. Step 4: Simplify right side
    6,201.58x = 27,022,898.89
  5. Step 5: Solve for x
    x = 27,022,898.89/6,201.58
  6. Step 6: Final answer
    x = 4,357.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.