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Finding the Fourth Proportional to 9,189.73, 13,782.51 and 2,615.77

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Solution

The fourth proportional to 9,189.73, 13,782.51 and 2,615.77 is: 3,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.73 : 13,782.51 = 2,615.77 : x
  2. Step 2: Convert to fraction form
    9,189.73/13,782.51 = 2,615.77/x
  3. Step 3: Cross multiply
    9,189.73x = 13,782.51 × 2,615.77
  4. Step 4: Simplify right side
    9,189.73x = 36,051,876.18
  5. Step 5: Solve for x
    x = 36,051,876.18/9,189.73
  6. Step 6: Final answer
    x = 3,923.06

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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.