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Finding the Fourth Proportional to 9,102.88, 13,654.36 and 2,777.84

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Solution

The fourth proportional to 9,102.88, 13,654.36 and 2,777.84 is: 4,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.88 : 13,654.36 = 2,777.84 : x
  2. Step 2: Convert to fraction form
    9,102.88/13,654.36 = 2,777.84/x
  3. Step 3: Cross multiply
    9,102.88x = 13,654.36 × 2,777.84
  4. Step 4: Simplify right side
    9,102.88x = 37,929,627.38
  5. Step 5: Solve for x
    x = 37,929,627.38/9,102.88
  6. Step 6: Final answer
    x = 4,166.77

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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.