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Finding the Fourth Proportional to 6,318.15, 9,462.88 and 3,847.53

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Solution

The fourth proportional to 6,318.15, 9,462.88 and 3,847.53 is: 5,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.15 : 9,462.88 = 3,847.53 : x
  2. Step 2: Convert to fraction form
    6,318.15/9,462.88 = 3,847.53/x
  3. Step 3: Cross multiply
    6,318.15x = 9,462.88 × 3,847.53
  4. Step 4: Simplify right side
    6,318.15x = 36,408,653.50
  5. Step 5: Solve for x
    x = 36,408,653.50/6,318.15
  6. Step 6: Final answer
    x = 5,762.55

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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.