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Finding the Fourth Proportional to 6,847.14, 9,446.53 and 4,492.47

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Solution

The fourth proportional to 6,847.14, 9,446.53 and 4,492.47 is: 6,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.14 : 9,446.53 = 4,492.47 : x
  2. Step 2: Convert to fraction form
    6,847.14/9,446.53 = 4,492.47/x
  3. Step 3: Cross multiply
    6,847.14x = 9,446.53 × 4,492.47
  4. Step 4: Simplify right side
    6,847.14x = 42,438,217.78
  5. Step 5: Solve for x
    x = 42,438,217.78/6,847.14
  6. Step 6: Final answer
    x = 6,197.95

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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.