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Finding the Fourth Proportional to 9,761.37, 14,640.52 and 3,187.52

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Solution

The fourth proportional to 9,761.37, 14,640.52 and 3,187.52 is: 4,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.37 : 14,640.52 = 3,187.52 : x
  2. Step 2: Convert to fraction form
    9,761.37/14,640.52 = 3,187.52/x
  3. Step 3: Cross multiply
    9,761.37x = 14,640.52 × 3,187.52
  4. Step 4: Simplify right side
    9,761.37x = 46,666,950.31
  5. Step 5: Solve for x
    x = 46,666,950.31/9,761.37
  6. Step 6: Final answer
    x = 4,780.78

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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.