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Finding the Fourth Proportional to 6,342.96, 9,514.41 and 2,182.94

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Solution

The fourth proportional to 6,342.96, 9,514.41 and 2,182.94 is: 3,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.96 : 9,514.41 = 2,182.94 : x
  2. Step 2: Convert to fraction form
    6,342.96/9,514.41 = 2,182.94/x
  3. Step 3: Cross multiply
    6,342.96x = 9,514.41 × 2,182.94
  4. Step 4: Simplify right side
    6,342.96x = 20,769,386.17
  5. Step 5: Solve for x
    x = 20,769,386.17/6,342.96
  6. Step 6: Final answer
    x = 3,274.40

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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.