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Finding the Fourth Proportional to 6,249.60, 9,354.24 and 3,320.64

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Solution

The fourth proportional to 6,249.60, 9,354.24 and 3,320.64 is: 4,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.60 : 9,354.24 = 3,320.64 : x
  2. Step 2: Convert to fraction form
    6,249.60/9,354.24 = 3,320.64/x
  3. Step 3: Cross multiply
    6,249.60x = 9,354.24 × 3,320.64
  4. Step 4: Simplify right side
    6,249.60x = 31,062,063.51
  5. Step 5: Solve for x
    x = 31,062,063.51/6,249.60
  6. Step 6: Final answer
    x = 4,970.25

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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.