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Finding the Fourth Proportional to 13,858.04, 20,794.01 and 6,463.08

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Solution

The fourth proportional to 13,858.04, 20,794.01 and 6,463.08 is: 9,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.04 : 20,794.01 = 6,463.08 : x
  2. Step 2: Convert to fraction form
    13,858.04/20,794.01 = 6,463.08/x
  3. Step 3: Cross multiply
    13,858.04x = 20,794.01 × 6,463.08
  4. Step 4: Simplify right side
    13,858.04x = 134,393,350.15
  5. Step 5: Solve for x
    x = 134,393,350.15/13,858.04
  6. Step 6: Final answer
    x = 9,697.86

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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.