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Finding the Fourth Proportional to 9,986.22, 13,782.15 and 5,796.90

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Solution

The fourth proportional to 9,986.22, 13,782.15 and 5,796.90 is: 8,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.22 : 13,782.15 = 5,796.90 : x
  2. Step 2: Convert to fraction form
    9,986.22/13,782.15 = 5,796.90/x
  3. Step 3: Cross multiply
    9,986.22x = 13,782.15 × 5,796.90
  4. Step 4: Simplify right side
    9,986.22x = 79,893,745.34
  5. Step 5: Solve for x
    x = 79,893,745.34/9,986.22
  6. Step 6: Final answer
    x = 8,000.40

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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.