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Finding the Fourth Proportional to 9,187.77, 13,782.11 and 2,614.93

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Solution

The fourth proportional to 9,187.77, 13,782.11 and 2,614.93 is: 3,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.77 : 13,782.11 = 2,614.93 : x
  2. Step 2: Convert to fraction form
    9,187.77/13,782.11 = 2,614.93/x
  3. Step 3: Cross multiply
    9,187.77x = 13,782.11 × 2,614.93
  4. Step 4: Simplify right side
    9,187.77x = 36,039,224.98
  5. Step 5: Solve for x
    x = 36,039,224.98/9,187.77
  6. Step 6: Final answer
    x = 3,922.52

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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.