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Finding the Fourth Proportional to 9,771.48, 14,637.78 and 8,540.28

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Solution

The fourth proportional to 9,771.48, 14,637.78 and 8,540.28 is: 12,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.48 : 14,637.78 = 8,540.28 : x
  2. Step 2: Convert to fraction form
    9,771.48/14,637.78 = 8,540.28/x
  3. Step 3: Cross multiply
    9,771.48x = 14,637.78 × 8,540.28
  4. Step 4: Simplify right side
    9,771.48x = 125,010,739.78
  5. Step 5: Solve for x
    x = 125,010,739.78/9,771.48
  6. Step 6: Final answer
    x = 12,793.43

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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.