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Finding the Fourth Proportional to 9,758.48, 14,612.81 and 5,371.11

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Solution

The fourth proportional to 9,758.48, 14,612.81 and 5,371.11 is: 8,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.48 : 14,612.81 = 5,371.11 : x
  2. Step 2: Convert to fraction form
    9,758.48/14,612.81 = 5,371.11/x
  3. Step 3: Cross multiply
    9,758.48x = 14,612.81 × 5,371.11
  4. Step 4: Simplify right side
    9,758.48x = 78,486,983.06
  5. Step 5: Solve for x
    x = 78,486,983.06/9,758.48
  6. Step 6: Final answer
    x = 8,042.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.