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Finding the Fourth Proportional to 6,536.46, 9,798.36 and 4,189.88

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Solution

The fourth proportional to 6,536.46, 9,798.36 and 4,189.88 is: 6,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.46 : 9,798.36 = 4,189.88 : x
  2. Step 2: Convert to fraction form
    6,536.46/9,798.36 = 4,189.88/x
  3. Step 3: Cross multiply
    6,536.46x = 9,798.36 × 4,189.88
  4. Step 4: Simplify right side
    6,536.46x = 41,053,952.60
  5. Step 5: Solve for x
    x = 41,053,952.60/6,536.46
  6. Step 6: Final answer
    x = 6,280.76

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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.