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Finding the Fourth Proportional to 6,014.02, 9,018.64 and 2,314.20

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Solution

The fourth proportional to 6,014.02, 9,018.64 and 2,314.20 is: 3,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.02 : 9,018.64 = 2,314.20 : x
  2. Step 2: Convert to fraction form
    6,014.02/9,018.64 = 2,314.20/x
  3. Step 3: Cross multiply
    6,014.02x = 9,018.64 × 2,314.20
  4. Step 4: Simplify right side
    6,014.02x = 20,870,897.31
  5. Step 5: Solve for x
    x = 20,870,897.31/6,014.02
  6. Step 6: Final answer
    x = 3,470.37

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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.