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Finding the Fourth Proportional to 6,523.12, 9,775.82 and 3,005.39

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Solution

The fourth proportional to 6,523.12, 9,775.82 and 3,005.39 is: 4,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.12 : 9,775.82 = 3,005.39 : x
  2. Step 2: Convert to fraction form
    6,523.12/9,775.82 = 3,005.39/x
  3. Step 3: Cross multiply
    6,523.12x = 9,775.82 × 3,005.39
  4. Step 4: Simplify right side
    6,523.12x = 29,380,128.63
  5. Step 5: Solve for x
    x = 29,380,128.63/6,523.12
  6. Step 6: Final answer
    x = 4,504.00

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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.