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Finding the Fourth Proportional to 9,102.96, 13,654.02 and 3,765.48

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Solution

The fourth proportional to 9,102.96, 13,654.02 and 3,765.48 is: 5,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.96 : 13,654.02 = 3,765.48 : x
  2. Step 2: Convert to fraction form
    9,102.96/13,654.02 = 3,765.48/x
  3. Step 3: Cross multiply
    9,102.96x = 13,654.02 × 3,765.48
  4. Step 4: Simplify right side
    9,102.96x = 51,413,939.23
  5. Step 5: Solve for x
    x = 51,413,939.23/9,102.96
  6. Step 6: Final answer
    x = 5,648.05

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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.