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Finding the Fourth Proportional to 9,633.06, 13,293.63 and 5,855.88

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Solution

The fourth proportional to 9,633.06, 13,293.63 and 5,855.88 is: 8,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.06 : 13,293.63 = 5,855.88 : x
  2. Step 2: Convert to fraction form
    9,633.06/13,293.63 = 5,855.88/x
  3. Step 3: Cross multiply
    9,633.06x = 13,293.63 × 5,855.88
  4. Step 4: Simplify right side
    9,633.06x = 77,845,902.04
  5. Step 5: Solve for x
    x = 77,845,902.04/9,633.06
  6. Step 6: Final answer
    x = 8,081.12

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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.