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Finding the Fourth Proportional to 9,986.09, 13,782.02 and 5,737.14

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Solution

The fourth proportional to 9,986.09, 13,782.02 and 5,737.14 is: 7,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.09 : 13,782.02 = 5,737.14 : x
  2. Step 2: Convert to fraction form
    9,986.09/13,782.02 = 5,737.14/x
  3. Step 3: Cross multiply
    9,986.09x = 13,782.02 × 5,737.14
  4. Step 4: Simplify right side
    9,986.09x = 79,069,297.85
  5. Step 5: Solve for x
    x = 79,069,297.85/9,986.09
  6. Step 6: Final answer
    x = 7,917.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.