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Finding the Fourth Proportional to 9,155.70, 13,733.55 and 3,311.55

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Solution

The fourth proportional to 9,155.70, 13,733.55 and 3,311.55 is: 4,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.70 : 13,733.55 = 3,311.55 : x
  2. Step 2: Convert to fraction form
    9,155.70/13,733.55 = 3,311.55/x
  3. Step 3: Cross multiply
    9,155.70x = 13,733.55 × 3,311.55
  4. Step 4: Simplify right side
    9,155.70x = 45,479,337.50
  5. Step 5: Solve for x
    x = 45,479,337.50/9,155.70
  6. Step 6: Final answer
    x = 4,967.33

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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.