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Finding the Fourth Proportional to 6,337.08, 9,498.92 and 3,219.40

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Solution

The fourth proportional to 6,337.08, 9,498.92 and 3,219.40 is: 4,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.08 : 9,498.92 = 3,219.40 : x
  2. Step 2: Convert to fraction form
    6,337.08/9,498.92 = 3,219.40/x
  3. Step 3: Cross multiply
    6,337.08x = 9,498.92 × 3,219.40
  4. Step 4: Simplify right side
    6,337.08x = 30,580,823.05
  5. Step 5: Solve for x
    x = 30,580,823.05/6,337.08
  6. Step 6: Final answer
    x = 4,825.70

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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.