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Finding the Fourth Proportional to 9,102.30, 13,658.76 and 3,836.99

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Solution

The fourth proportional to 9,102.30, 13,658.76 and 3,836.99 is: 5,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.30 : 13,658.76 = 3,836.99 : x
  2. Step 2: Convert to fraction form
    9,102.30/13,658.76 = 3,836.99/x
  3. Step 3: Cross multiply
    9,102.30x = 13,658.76 × 3,836.99
  4. Step 4: Simplify right side
    9,102.30x = 52,408,503.06
  5. Step 5: Solve for x
    x = 52,408,503.06/9,102.30
  6. Step 6: Final answer
    x = 5,757.72

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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.