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Finding the Fourth Proportional to 9,156.50, 13,726.60 and 3,311.81

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Solution

The fourth proportional to 9,156.50, 13,726.60 and 3,311.81 is: 4,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.50 : 13,726.60 = 3,311.81 : x
  2. Step 2: Convert to fraction form
    9,156.50/13,726.60 = 3,311.81/x
  3. Step 3: Cross multiply
    9,156.50x = 13,726.60 × 3,311.81
  4. Step 4: Simplify right side
    9,156.50x = 45,459,891.15
  5. Step 5: Solve for x
    x = 45,459,891.15/9,156.50
  6. Step 6: Final answer
    x = 4,964.77

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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.