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Finding the Fourth Proportional to 9,890.34, 13,647.39 and 5,910.81

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Solution

The fourth proportional to 9,890.34, 13,647.39 and 5,910.81 is: 8,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.34 : 13,647.39 = 5,910.81 : x
  2. Step 2: Convert to fraction form
    9,890.34/13,647.39 = 5,910.81/x
  3. Step 3: Cross multiply
    9,890.34x = 13,647.39 × 5,910.81
  4. Step 4: Simplify right side
    9,890.34x = 80,667,129.29
  5. Step 5: Solve for x
    x = 80,667,129.29/9,890.34
  6. Step 6: Final answer
    x = 8,156.15

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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.