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Finding the Fourth Proportional to 9,608.39, 14,412.06 and 3,688.11

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Solution

The fourth proportional to 9,608.39, 14,412.06 and 3,688.11 is: 5,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.39 : 14,412.06 = 3,688.11 : x
  2. Step 2: Convert to fraction form
    9,608.39/14,412.06 = 3,688.11/x
  3. Step 3: Cross multiply
    9,608.39x = 14,412.06 × 3,688.11
  4. Step 4: Simplify right side
    9,608.39x = 53,153,262.61
  5. Step 5: Solve for x
    x = 53,153,262.61/9,608.39
  6. Step 6: Final answer
    x = 5,531.97

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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.