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Finding the Fourth Proportional to 9,755.83, 14,633.64 and 3,916.54

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Solution

The fourth proportional to 9,755.83, 14,633.64 and 3,916.54 is: 5,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.83 : 14,633.64 = 3,916.54 : x
  2. Step 2: Convert to fraction form
    9,755.83/14,633.64 = 3,916.54/x
  3. Step 3: Cross multiply
    9,755.83x = 14,633.64 × 3,916.54
  4. Step 4: Simplify right side
    9,755.83x = 57,313,236.41
  5. Step 5: Solve for x
    x = 57,313,236.41/9,755.83
  6. Step 6: Final answer
    x = 5,874.77

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Why These Related Problems?

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