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Finding the Fourth Proportional to 6,164.88, 9,248.12 and 3,243.32

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Solution

The fourth proportional to 6,164.88, 9,248.12 and 3,243.32 is: 4,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.88 : 9,248.12 = 3,243.32 : x
  2. Step 2: Convert to fraction form
    6,164.88/9,248.12 = 3,243.32/x
  3. Step 3: Cross multiply
    6,164.88x = 9,248.12 × 3,243.32
  4. Step 4: Simplify right side
    6,164.88x = 29,994,612.56
  5. Step 5: Solve for x
    x = 29,994,612.56/6,164.88
  6. Step 6: Final answer
    x = 4,865.40

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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.