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Finding the Fourth Proportional to 6,342.93, 9,514.40 and 2,877.75

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Solution

The fourth proportional to 6,342.93, 9,514.40 and 2,877.75 is: 4,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.93 : 9,514.40 = 2,877.75 : x
  2. Step 2: Convert to fraction form
    6,342.93/9,514.40 = 2,877.75/x
  3. Step 3: Cross multiply
    6,342.93x = 9,514.40 × 2,877.75
  4. Step 4: Simplify right side
    6,342.93x = 27,380,050.21
  5. Step 5: Solve for x
    x = 27,380,050.21/6,342.93
  6. Step 6: Final answer
    x = 4,316.63

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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.