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Finding the Fourth Proportional to 6,297.88, 9,447.14 and 2,402.59

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Solution

The fourth proportional to 6,297.88, 9,447.14 and 2,402.59 is: 3,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.88 : 9,447.14 = 2,402.59 : x
  2. Step 2: Convert to fraction form
    6,297.88/9,447.14 = 2,402.59/x
  3. Step 3: Cross multiply
    6,297.88x = 9,447.14 × 2,402.59
  4. Step 4: Simplify right side
    6,297.88x = 22,697,604.09
  5. Step 5: Solve for x
    x = 22,697,604.09/6,297.88
  6. Step 6: Final answer
    x = 3,604.01

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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.