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Finding the Fourth Proportional to 9,000.20, 13,500.30 and 6,523.40

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Solution

The fourth proportional to 9,000.20, 13,500.30 and 6,523.40 is: 9,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.20 : 13,500.30 = 6,523.40 : x
  2. Step 2: Convert to fraction form
    9,000.20/13,500.30 = 6,523.40/x
  3. Step 3: Cross multiply
    9,000.20x = 13,500.30 × 6,523.40
  4. Step 4: Simplify right side
    9,000.20x = 88,067,857.02
  5. Step 5: Solve for x
    x = 88,067,857.02/9,000.20
  6. Step 6: Final answer
    x = 9,785.10

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