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Finding the Fourth Proportional to 9,647.54, 13,311.41 and 6,108.71

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Solution

The fourth proportional to 9,647.54, 13,311.41 and 6,108.71 is: 8,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.54 : 13,311.41 = 6,108.71 : x
  2. Step 2: Convert to fraction form
    9,647.54/13,311.41 = 6,108.71/x
  3. Step 3: Cross multiply
    9,647.54x = 13,311.41 × 6,108.71
  4. Step 4: Simplify right side
    9,647.54x = 81,315,446.28
  5. Step 5: Solve for x
    x = 81,315,446.28/9,647.54
  6. Step 6: Final answer
    x = 8,428.62

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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.