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Finding the Fourth Proportional to 9,608.72, 14,418.48 and 5,226.48

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Solution

The fourth proportional to 9,608.72, 14,418.48 and 5,226.48 is: 7,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.72 : 14,418.48 = 5,226.48 : x
  2. Step 2: Convert to fraction form
    9,608.72/14,418.48 = 5,226.48/x
  3. Step 3: Cross multiply
    9,608.72x = 14,418.48 × 5,226.48
  4. Step 4: Simplify right side
    9,608.72x = 75,357,897.35
  5. Step 5: Solve for x
    x = 75,357,897.35/9,608.72
  6. Step 6: Final answer
    x = 7,842.66

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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.