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Finding the Fourth Proportional to 9,989.17, 13,782.79 and 5,739.91

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Solution

The fourth proportional to 9,989.17, 13,782.79 and 5,739.91 is: 7,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.17 : 13,782.79 = 5,739.91 : x
  2. Step 2: Convert to fraction form
    9,989.17/13,782.79 = 5,739.91/x
  3. Step 3: Cross multiply
    9,989.17x = 13,782.79 × 5,739.91
  4. Step 4: Simplify right side
    9,989.17x = 79,111,974.15
  5. Step 5: Solve for x
    x = 79,111,974.15/9,989.17
  6. Step 6: Final answer
    x = 7,919.77

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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.