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Finding the Fourth Proportional to 6,000.24, 9,000.24 and 1,618.12

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Solution

The fourth proportional to 6,000.24, 9,000.24 and 1,618.12 is: 2,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.24 : 9,000.24 = 1,618.12 : x
  2. Step 2: Convert to fraction form
    6,000.24/9,000.24 = 1,618.12/x
  3. Step 3: Cross multiply
    6,000.24x = 9,000.24 × 1,618.12
  4. Step 4: Simplify right side
    6,000.24x = 14,563,468.35
  5. Step 5: Solve for x
    x = 14,563,468.35/6,000.24
  6. Step 6: Final answer
    x = 2,427.15

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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.