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Finding the Fourth Proportional to 9,757.11, 13,461.18 and 6,401.79

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Solution

The fourth proportional to 9,757.11, 13,461.18 and 6,401.79 is: 8,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.11 : 13,461.18 = 6,401.79 : x
  2. Step 2: Convert to fraction form
    9,757.11/13,461.18 = 6,401.79/x
  3. Step 3: Cross multiply
    9,757.11x = 13,461.18 × 6,401.79
  4. Step 4: Simplify right side
    9,757.11x = 86,175,647.51
  5. Step 5: Solve for x
    x = 86,175,647.51/9,757.11
  6. Step 6: Final answer
    x = 8,832.09

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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.