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Finding the Fourth Proportional to 9,311.60, 13,962.60 and 2,736.93

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Solution

The fourth proportional to 9,311.60, 13,962.60 and 2,736.93 is: 4,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.60 : 13,962.60 = 2,736.93 : x
  2. Step 2: Convert to fraction form
    9,311.60/13,962.60 = 2,736.93/x
  3. Step 3: Cross multiply
    9,311.60x = 13,962.60 × 2,736.93
  4. Step 4: Simplify right side
    9,311.60x = 38,214,658.82
  5. Step 5: Solve for x
    x = 38,214,658.82/9,311.60
  6. Step 6: Final answer
    x = 4,103.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.