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Finding the Fourth Proportional to 6,315.60, 9,462.92 and 3,842.94

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Solution

The fourth proportional to 6,315.60, 9,462.92 and 3,842.94 is: 5,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.60 : 9,462.92 = 3,842.94 : x
  2. Step 2: Convert to fraction form
    6,315.60/9,462.92 = 3,842.94/x
  3. Step 3: Cross multiply
    6,315.60x = 9,462.92 × 3,842.94
  4. Step 4: Simplify right side
    6,315.60x = 36,365,433.78
  5. Step 5: Solve for x
    x = 36,365,433.78/6,315.60
  6. Step 6: Final answer
    x = 5,758.03

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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.