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Finding the Fourth Proportional to 9,805.44, 13,530.96 and 5,613.96

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Solution

The fourth proportional to 9,805.44, 13,530.96 and 5,613.96 is: 7,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.44 : 13,530.96 = 5,613.96 : x
  2. Step 2: Convert to fraction form
    9,805.44/13,530.96 = 5,613.96/x
  3. Step 3: Cross multiply
    9,805.44x = 13,530.96 × 5,613.96
  4. Step 4: Simplify right side
    9,805.44x = 75,962,268.20
  5. Step 5: Solve for x
    x = 75,962,268.20/9,805.44
  6. Step 6: Final answer
    x = 7,746.95

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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.