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Finding the Fourth Proportional to 6,342.08, 9,513.36 and 1,959.68

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Solution

The fourth proportional to 6,342.08, 9,513.36 and 1,959.68 is: 2,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.08 : 9,513.36 = 1,959.68 : x
  2. Step 2: Convert to fraction form
    6,342.08/9,513.36 = 1,959.68/x
  3. Step 3: Cross multiply
    6,342.08x = 9,513.36 × 1,959.68
  4. Step 4: Simplify right side
    6,342.08x = 18,643,141.32
  5. Step 5: Solve for x
    x = 18,643,141.32/6,342.08
  6. Step 6: Final answer
    x = 2,939.59

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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.