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Finding the Fourth Proportional to 6,422.35, 9,633.73 and 1,742.34

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Solution

The fourth proportional to 6,422.35, 9,633.73 and 1,742.34 is: 2,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.35 : 9,633.73 = 1,742.34 : x
  2. Step 2: Convert to fraction form
    6,422.35/9,633.73 = 1,742.34/x
  3. Step 3: Cross multiply
    6,422.35x = 9,633.73 × 1,742.34
  4. Step 4: Simplify right side
    6,422.35x = 16,785,264.90
  5. Step 5: Solve for x
    x = 16,785,264.90/6,422.35
  6. Step 6: Final answer
    x = 2,613.57

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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.