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Finding the Fourth Proportional to 9,102.44, 13,655.72 and 2,777.90

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Solution

The fourth proportional to 9,102.44, 13,655.72 and 2,777.90 is: 4,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.44 : 13,655.72 = 2,777.90 : x
  2. Step 2: Convert to fraction form
    9,102.44/13,655.72 = 2,777.90/x
  3. Step 3: Cross multiply
    9,102.44x = 13,655.72 × 2,777.90
  4. Step 4: Simplify right side
    9,102.44x = 37,934,163.25
  5. Step 5: Solve for x
    x = 37,934,163.25/9,102.44
  6. Step 6: Final answer
    x = 4,167.47

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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.