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Finding the Fourth Proportional to 9,607.13, 13,257.84 and 5,191.13

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Solution

The fourth proportional to 9,607.13, 13,257.84 and 5,191.13 is: 7,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.13 : 13,257.84 = 5,191.13 : x
  2. Step 2: Convert to fraction form
    9,607.13/13,257.84 = 5,191.13/x
  3. Step 3: Cross multiply
    9,607.13x = 13,257.84 × 5,191.13
  4. Step 4: Simplify right side
    9,607.13x = 68,823,104.67
  5. Step 5: Solve for x
    x = 68,823,104.67/9,607.13
  6. Step 6: Final answer
    x = 7,163.76

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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.