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Finding the Fourth Proportional to 6,201.84, 9,305.52 and 2,305.32

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Solution

The fourth proportional to 6,201.84, 9,305.52 and 2,305.32 is: 3,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.84 : 9,305.52 = 2,305.32 : x
  2. Step 2: Convert to fraction form
    6,201.84/9,305.52 = 2,305.32/x
  3. Step 3: Cross multiply
    6,201.84x = 9,305.52 × 2,305.32
  4. Step 4: Simplify right side
    6,201.84x = 21,452,201.37
  5. Step 5: Solve for x
    x = 21,452,201.37/6,201.84
  6. Step 6: Final answer
    x = 3,459.01

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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.