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Finding the Fourth Proportional to 6,284.76, 9,427.14 and 2,388.24

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Solution

The fourth proportional to 6,284.76, 9,427.14 and 2,388.24 is: 3,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.76 : 9,427.14 = 2,388.24 : x
  2. Step 2: Convert to fraction form
    6,284.76/9,427.14 = 2,388.24/x
  3. Step 3: Cross multiply
    6,284.76x = 9,427.14 × 2,388.24
  4. Step 4: Simplify right side
    6,284.76x = 22,514,272.83
  5. Step 5: Solve for x
    x = 22,514,272.83/6,284.76
  6. Step 6: Final answer
    x = 3,582.36

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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.