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Finding the Fourth Proportional to 9,608.95, 14,403.48 and 3,684.43

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Solution

The fourth proportional to 9,608.95, 14,403.48 and 3,684.43 is: 5,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.95 : 14,403.48 = 3,684.43 : x
  2. Step 2: Convert to fraction form
    9,608.95/14,403.48 = 3,684.43/x
  3. Step 3: Cross multiply
    9,608.95x = 14,403.48 × 3,684.43
  4. Step 4: Simplify right side
    9,608.95x = 53,068,613.82
  5. Step 5: Solve for x
    x = 53,068,613.82/9,608.95
  6. Step 6: Final answer
    x = 5,522.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.