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Finding the Fourth Proportional to 6,536.19, 9,803.95 and 3,832.88

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Solution

The fourth proportional to 6,536.19, 9,803.95 and 3,832.88 is: 5,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.19 : 9,803.95 = 3,832.88 : x
  2. Step 2: Convert to fraction form
    6,536.19/9,803.95 = 3,832.88/x
  3. Step 3: Cross multiply
    6,536.19x = 9,803.95 × 3,832.88
  4. Step 4: Simplify right side
    6,536.19x = 37,577,355.14
  5. Step 5: Solve for x
    x = 37,577,355.14/6,536.19
  6. Step 6: Final answer
    x = 5,749.12

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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.