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Finding the Fourth Proportional to 9,243.02, 13,847.00 and 5,486.87

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Solution

The fourth proportional to 9,243.02, 13,847.00 and 5,486.87 is: 8,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.02 : 13,847.00 = 5,486.87 : x
  2. Step 2: Convert to fraction form
    9,243.02/13,847.00 = 5,486.87/x
  3. Step 3: Cross multiply
    9,243.02x = 13,847.00 × 5,486.87
  4. Step 4: Simplify right side
    9,243.02x = 75,976,592.22
  5. Step 5: Solve for x
    x = 75,976,592.22/9,243.02
  6. Step 6: Final answer
    x = 8,219.89

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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.