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Finding the Fourth Proportional to 6,427.34, 9,645.30 and 2,267.37

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Solution

The fourth proportional to 6,427.34, 9,645.30 and 2,267.37 is: 3,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.34 : 9,645.30 = 2,267.37 : x
  2. Step 2: Convert to fraction form
    6,427.34/9,645.30 = 2,267.37/x
  3. Step 3: Cross multiply
    6,427.34x = 9,645.30 × 2,267.37
  4. Step 4: Simplify right side
    6,427.34x = 21,869,463.86
  5. Step 5: Solve for x
    x = 21,869,463.86/6,427.34
  6. Step 6: Final answer
    x = 3,402.57

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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.