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Finding the Fourth Proportional to 36,064.49, 54,096.93 and 9,769.46

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Solution

The fourth proportional to 36,064.49, 54,096.93 and 9,769.46 is: 14,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,064.49 : 54,096.93 = 9,769.46 : x
  2. Step 2: Convert to fraction form
    36,064.49/54,096.93 = 9,769.46/x
  3. Step 3: Cross multiply
    36,064.49x = 54,096.93 × 9,769.46
  4. Step 4: Simplify right side
    36,064.49x = 528,497,523.27
  5. Step 5: Solve for x
    x = 528,497,523.27/36,064.49
  6. Step 6: Final answer
    x = 14,654.24

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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.