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Finding the Fourth Proportional to 9,747.34, 14,620.80 and 3,902.38

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Solution

The fourth proportional to 9,747.34, 14,620.80 and 3,902.38 is: 5,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.34 : 14,620.80 = 3,902.38 : x
  2. Step 2: Convert to fraction form
    9,747.34/14,620.80 = 3,902.38/x
  3. Step 3: Cross multiply
    9,747.34x = 14,620.80 × 3,902.38
  4. Step 4: Simplify right side
    9,747.34x = 57,055,917.50
  5. Step 5: Solve for x
    x = 57,055,917.50/9,747.34
  6. Step 6: Final answer
    x = 5,853.49

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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.