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Finding the Fourth Proportional to 9,156.03, 13,734.02 and 3,311.27

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Solution

The fourth proportional to 9,156.03, 13,734.02 and 3,311.27 is: 4,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.03 : 13,734.02 = 3,311.27 : x
  2. Step 2: Convert to fraction form
    9,156.03/13,734.02 = 3,311.27/x
  3. Step 3: Cross multiply
    9,156.03x = 13,734.02 × 3,311.27
  4. Step 4: Simplify right side
    9,156.03x = 45,477,048.41
  5. Step 5: Solve for x
    x = 45,477,048.41/9,156.03
  6. Step 6: Final answer
    x = 4,966.90

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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.