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Finding the Fourth Proportional to 6,530.82, 9,783.24 and 3,233.84

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Solution

The fourth proportional to 6,530.82, 9,783.24 and 3,233.84 is: 4,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.82 : 9,783.24 = 3,233.84 : x
  2. Step 2: Convert to fraction form
    6,530.82/9,783.24 = 3,233.84/x
  3. Step 3: Cross multiply
    6,530.82x = 9,783.24 × 3,233.84
  4. Step 4: Simplify right side
    6,530.82x = 31,637,432.84
  5. Step 5: Solve for x
    x = 31,637,432.84/6,530.82
  6. Step 6: Final answer
    x = 4,844.33

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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.