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Finding the Fourth Proportional to 6,342.66, 9,514.86 and 1,960.44

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Solution

The fourth proportional to 6,342.66, 9,514.86 and 1,960.44 is: 2,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.66 : 9,514.86 = 1,960.44 : x
  2. Step 2: Convert to fraction form
    6,342.66/9,514.86 = 1,960.44/x
  3. Step 3: Cross multiply
    6,342.66x = 9,514.86 × 1,960.44
  4. Step 4: Simplify right side
    6,342.66x = 18,653,312.14
  5. Step 5: Solve for x
    x = 18,653,312.14/6,342.66
  6. Step 6: Final answer
    x = 2,940.93

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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.