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Finding the Fourth Proportional to 6,284.72, 9,427.08 and 2,388.44

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Solution

The fourth proportional to 6,284.72, 9,427.08 and 2,388.44 is: 3,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.72 : 9,427.08 = 2,388.44 : x
  2. Step 2: Convert to fraction form
    6,284.72/9,427.08 = 2,388.44/x
  3. Step 3: Cross multiply
    6,284.72x = 9,427.08 × 2,388.44
  4. Step 4: Simplify right side
    6,284.72x = 22,516,014.96
  5. Step 5: Solve for x
    x = 22,516,014.96/6,284.72
  6. Step 6: Final answer
    x = 3,582.66

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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.