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Finding the Fourth Proportional to 6,502.20, 9,749.70 and 2,803.80

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Solution

The fourth proportional to 6,502.20, 9,749.70 and 2,803.80 is: 4,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.20 : 9,749.70 = 2,803.80 : x
  2. Step 2: Convert to fraction form
    6,502.20/9,749.70 = 2,803.80/x
  3. Step 3: Cross multiply
    6,502.20x = 9,749.70 × 2,803.80
  4. Step 4: Simplify right side
    6,502.20x = 27,336,208.86
  5. Step 5: Solve for x
    x = 27,336,208.86/6,502.20
  6. Step 6: Final answer
    x = 4,204.15

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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.