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Finding the Fourth Proportional to 9,105.40, 13,659.90 and 7,654.60

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Solution

The fourth proportional to 9,105.40, 13,659.90 and 7,654.60 is: 11,483.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.40 : 13,659.90 = 7,654.60 : x
  2. Step 2: Convert to fraction form
    9,105.40/13,659.90 = 7,654.60/x
  3. Step 3: Cross multiply
    9,105.40x = 13,659.90 × 7,654.60
  4. Step 4: Simplify right side
    9,105.40x = 104,561,070.54
  5. Step 5: Solve for x
    x = 104,561,070.54/9,105.40
  6. Step 6: Final answer
    x = 11,483.41

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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.