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Finding the Fourth Proportional to 6,322.85, 9,484.74 and 2,427.26

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Solution

The fourth proportional to 6,322.85, 9,484.74 and 2,427.26 is: 3,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.85 : 9,484.74 = 2,427.26 : x
  2. Step 2: Convert to fraction form
    6,322.85/9,484.74 = 2,427.26/x
  3. Step 3: Cross multiply
    6,322.85x = 9,484.74 × 2,427.26
  4. Step 4: Simplify right side
    6,322.85x = 23,021,902.44
  5. Step 5: Solve for x
    x = 23,021,902.44/6,322.85
  6. Step 6: Final answer
    x = 3,641.06

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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.