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Finding the Fourth Proportional to 9,234.10, 13,855.65 and 4,301.20

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Solution

The fourth proportional to 9,234.10, 13,855.65 and 4,301.20 is: 6,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.10 : 13,855.65 = 4,301.20 : x
  2. Step 2: Convert to fraction form
    9,234.10/13,855.65 = 4,301.20/x
  3. Step 3: Cross multiply
    9,234.10x = 13,855.65 × 4,301.20
  4. Step 4: Simplify right side
    9,234.10x = 59,595,921.78
  5. Step 5: Solve for x
    x = 59,595,921.78/9,234.10
  6. Step 6: Final answer
    x = 6,453.90

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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.