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Finding the Fourth Proportional to 6,217.85, 9,320.00 and 3,100.16

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Solution

The fourth proportional to 6,217.85, 9,320.00 and 3,100.16 is: 4,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.85 : 9,320.00 = 3,100.16 : x
  2. Step 2: Convert to fraction form
    6,217.85/9,320.00 = 3,100.16/x
  3. Step 3: Cross multiply
    6,217.85x = 9,320.00 × 3,100.16
  4. Step 4: Simplify right side
    6,217.85x = 28,893,499.00
  5. Step 5: Solve for x
    x = 28,893,499.00/6,217.85
  6. Step 6: Final answer
    x = 4,646.86

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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.