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Finding the Fourth Proportional to 9,156.60, 13,734.10 and 3,000.60

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Solution

The fourth proportional to 9,156.60, 13,734.10 and 3,000.60 is: 4,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.60 : 13,734.10 = 3,000.60 : x
  2. Step 2: Convert to fraction form
    9,156.60/13,734.10 = 3,000.60/x
  3. Step 3: Cross multiply
    9,156.60x = 13,734.10 × 3,000.60
  4. Step 4: Simplify right side
    9,156.60x = 41,210,540.46
  5. Step 5: Solve for x
    x = 41,210,540.46/9,156.60
  6. Step 6: Final answer
    x = 4,500.64

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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.