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Finding the Fourth Proportional to 9,608.09, 14,412.92 and 2,682.59

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Solution

The fourth proportional to 9,608.09, 14,412.92 and 2,682.59 is: 4,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.09 : 14,412.92 = 2,682.59 : x
  2. Step 2: Convert to fraction form
    9,608.09/14,412.92 = 2,682.59/x
  3. Step 3: Cross multiply
    9,608.09x = 14,412.92 × 2,682.59
  4. Step 4: Simplify right side
    9,608.09x = 38,663,869.59
  5. Step 5: Solve for x
    x = 38,663,869.59/9,608.09
  6. Step 6: Final answer
    x = 4,024.10

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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.