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Finding the Fourth Proportional to 6,884.16, 9,500.34 and 4,233.12

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Solution

The fourth proportional to 6,884.16, 9,500.34 and 4,233.12 is: 5,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.16 : 9,500.34 = 4,233.12 : x
  2. Step 2: Convert to fraction form
    6,884.16/9,500.34 = 4,233.12/x
  3. Step 3: Cross multiply
    6,884.16x = 9,500.34 × 4,233.12
  4. Step 4: Simplify right side
    6,884.16x = 40,216,079.26
  5. Step 5: Solve for x
    x = 40,216,079.26/6,884.16
  6. Step 6: Final answer
    x = 5,841.83

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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.