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Finding the Fourth Proportional to 6,434.22, 9,652.68 and 2,274.34

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Solution

The fourth proportional to 6,434.22, 9,652.68 and 2,274.34 is: 3,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.22 : 9,652.68 = 2,274.34 : x
  2. Step 2: Convert to fraction form
    6,434.22/9,652.68 = 2,274.34/x
  3. Step 3: Cross multiply
    6,434.22x = 9,652.68 × 2,274.34
  4. Step 4: Simplify right side
    6,434.22x = 21,953,476.23
  5. Step 5: Solve for x
    x = 21,953,476.23/6,434.22
  6. Step 6: Final answer
    x = 3,411.99

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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.