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Finding the Fourth Proportional to 9,262.55, 13,883.87 and 4,000.05

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Solution

The fourth proportional to 9,262.55, 13,883.87 and 4,000.05 is: 5,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.55 : 13,883.87 = 4,000.05 : x
  2. Step 2: Convert to fraction form
    9,262.55/13,883.87 = 4,000.05/x
  3. Step 3: Cross multiply
    9,262.55x = 13,883.87 × 4,000.05
  4. Step 4: Simplify right side
    9,262.55x = 55,536,184.19
  5. Step 5: Solve for x
    x = 55,536,184.19/9,262.55
  6. Step 6: Final answer
    x = 5,995.78

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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.