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Finding the Fourth Proportional to 6,883.12, 9,498.92 and 3,898.90

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Solution

The fourth proportional to 6,883.12, 9,498.92 and 3,898.90 is: 5,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.12 : 9,498.92 = 3,898.90 : x
  2. Step 2: Convert to fraction form
    6,883.12/9,498.92 = 3,898.90/x
  3. Step 3: Cross multiply
    6,883.12x = 9,498.92 × 3,898.90
  4. Step 4: Simplify right side
    6,883.12x = 37,035,339.19
  5. Step 5: Solve for x
    x = 37,035,339.19/6,883.12
  6. Step 6: Final answer
    x = 5,380.60

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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.