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Finding the Fourth Proportional to 6,316.59, 9,464.42 and 3,843.93

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Solution

The fourth proportional to 6,316.59, 9,464.42 and 3,843.93 is: 5,759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.59 : 9,464.42 = 3,843.93 : x
  2. Step 2: Convert to fraction form
    6,316.59/9,464.42 = 3,843.93/x
  3. Step 3: Cross multiply
    6,316.59x = 9,464.42 × 3,843.93
  4. Step 4: Simplify right side
    6,316.59x = 36,380,548.75
  5. Step 5: Solve for x
    x = 36,380,548.75/6,316.59
  6. Step 6: Final answer
    x = 5,759.52

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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.