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Finding the Fourth Proportional to 6,876.16, 9,489.30 and 4,225.12

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Solution

The fourth proportional to 6,876.16, 9,489.30 and 4,225.12 is: 5,830.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.16 : 9,489.30 = 4,225.12 : x
  2. Step 2: Convert to fraction form
    6,876.16/9,489.30 = 4,225.12/x
  3. Step 3: Cross multiply
    6,876.16x = 9,489.30 × 4,225.12
  4. Step 4: Simplify right side
    6,876.16x = 40,093,431.22
  5. Step 5: Solve for x
    x = 40,093,431.22/6,876.16
  6. Step 6: Final answer
    x = 5,830.79

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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.