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Finding the Fourth Proportional to 6,165.52, 9,249.36 and 2,705.20

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Solution

The fourth proportional to 6,165.52, 9,249.36 and 2,705.20 is: 4,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.52 : 9,249.36 = 2,705.20 : x
  2. Step 2: Convert to fraction form
    6,165.52/9,249.36 = 2,705.20/x
  3. Step 3: Cross multiply
    6,165.52x = 9,249.36 × 2,705.20
  4. Step 4: Simplify right side
    6,165.52x = 25,021,368.67
  5. Step 5: Solve for x
    x = 25,021,368.67/6,165.52
  6. Step 6: Final answer
    x = 4,058.27

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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.