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Finding the Fourth Proportional to 9,971.01, 13,758.53 and 5,936.67

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Solution

The fourth proportional to 9,971.01, 13,758.53 and 5,936.67 is: 8,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.01 : 13,758.53 = 5,936.67 : x
  2. Step 2: Convert to fraction form
    9,971.01/13,758.53 = 5,936.67/x
  3. Step 3: Cross multiply
    9,971.01x = 13,758.53 × 5,936.67
  4. Step 4: Simplify right side
    9,971.01x = 81,679,822.61
  5. Step 5: Solve for x
    x = 81,679,822.61/9,971.01
  6. Step 6: Final answer
    x = 8,191.73

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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.