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Finding the Fourth Proportional to 6,297.63, 9,446.76 and 2,402.34

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Solution

The fourth proportional to 6,297.63, 9,446.76 and 2,402.34 is: 3,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.63 : 9,446.76 = 2,402.34 : x
  2. Step 2: Convert to fraction form
    6,297.63/9,446.76 = 2,402.34/x
  3. Step 3: Cross multiply
    6,297.63x = 9,446.76 × 2,402.34
  4. Step 4: Simplify right side
    6,297.63x = 22,694,329.42
  5. Step 5: Solve for x
    x = 22,694,329.42/6,297.63
  6. Step 6: Final answer
    x = 3,603.63

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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.