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Finding the Fourth Proportional to 9,617.22, 13,268.04 and 5,636.88

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Solution

The fourth proportional to 9,617.22, 13,268.04 and 5,636.88 is: 7,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.22 : 13,268.04 = 5,636.88 : x
  2. Step 2: Convert to fraction form
    9,617.22/13,268.04 = 5,636.88/x
  3. Step 3: Cross multiply
    9,617.22x = 13,268.04 × 5,636.88
  4. Step 4: Simplify right side
    9,617.22x = 74,790,349.32
  5. Step 5: Solve for x
    x = 74,790,349.32/9,617.22
  6. Step 6: Final answer
    x = 7,776.71

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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.