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Finding the Fourth Proportional to 6,014.84, 9,023.16 and 2,118.56

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Solution

The fourth proportional to 6,014.84, 9,023.16 and 2,118.56 is: 3,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.84 : 9,023.16 = 2,118.56 : x
  2. Step 2: Convert to fraction form
    6,014.84/9,023.16 = 2,118.56/x
  3. Step 3: Cross multiply
    6,014.84x = 9,023.16 × 2,118.56
  4. Step 4: Simplify right side
    6,014.84x = 19,116,105.85
  5. Step 5: Solve for x
    x = 19,116,105.85/6,014.84
  6. Step 6: Final answer
    x = 3,178.16

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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.