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Finding the Fourth Proportional to 6,200.70, 9,302.54 and 1,818.15

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Solution

The fourth proportional to 6,200.70, 9,302.54 and 1,818.15 is: 2,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.70 : 9,302.54 = 1,818.15 : x
  2. Step 2: Convert to fraction form
    6,200.70/9,302.54 = 1,818.15/x
  3. Step 3: Cross multiply
    6,200.70x = 9,302.54 × 1,818.15
  4. Step 4: Simplify right side
    6,200.70x = 16,913,404.01
  5. Step 5: Solve for x
    x = 16,913,404.01/6,200.70
  6. Step 6: Final answer
    x = 2,727.66

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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.