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Finding the Fourth Proportional to 9,711.11, 13,401 and 5,462.35

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Solution

The fourth proportional to 9,711.11, 13,401 and 5,462.35 is: 7,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.11 : 13,401 = 5,462.35 : x
  2. Step 2: Convert to fraction form
    9,711.11/13,401 = 5,462.35/x
  3. Step 3: Cross multiply
    9,711.11x = 13,401 × 5,462.35
  4. Step 4: Simplify right side
    9,711.11x = 73,200,918.85
  5. Step 5: Solve for x
    x = 73,200,918.85/9,711.11
  6. Step 6: Final answer
    x = 7,537.85

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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.