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Finding the Fourth Proportional to 9,284.13, 13,927.14 and 4,018.14

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Solution

The fourth proportional to 9,284.13, 13,927.14 and 4,018.14 is: 6,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.13 : 13,927.14 = 4,018.14 : x
  2. Step 2: Convert to fraction form
    9,284.13/13,927.14 = 4,018.14/x
  3. Step 3: Cross multiply
    9,284.13x = 13,927.14 × 4,018.14
  4. Step 4: Simplify right side
    9,284.13x = 55,961,198.32
  5. Step 5: Solve for x
    x = 55,961,198.32/9,284.13
  6. Step 6: Final answer
    x = 6,027.62

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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.