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Finding the Fourth Proportional to 9,633.86, 13,293.18 and 5,855.01

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Solution

The fourth proportional to 9,633.86, 13,293.18 and 5,855.01 is: 8,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.86 : 13,293.18 = 5,855.01 : x
  2. Step 2: Convert to fraction form
    9,633.86/13,293.18 = 5,855.01/x
  3. Step 3: Cross multiply
    9,633.86x = 13,293.18 × 5,855.01
  4. Step 4: Simplify right side
    9,633.86x = 77,831,651.98
  5. Step 5: Solve for x
    x = 77,831,651.98/9,633.86
  6. Step 6: Final answer
    x = 8,078.97

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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.