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Finding the Fourth Proportional to 7,026.34, 9,694.68 and 4,372.33

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Solution

The fourth proportional to 7,026.34, 9,694.68 and 4,372.33 is: 6,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.34 : 9,694.68 = 4,372.33 : x
  2. Step 2: Convert to fraction form
    7,026.34/9,694.68 = 4,372.33/x
  3. Step 3: Cross multiply
    7,026.34x = 9,694.68 × 4,372.33
  4. Step 4: Simplify right side
    7,026.34x = 42,388,340.20
  5. Step 5: Solve for x
    x = 42,388,340.20/7,026.34
  6. Step 6: Final answer
    x = 6,032.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.