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Finding the Fourth Proportional to 6,001.21, 9,001.14 and 1,618.03

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Solution

The fourth proportional to 6,001.21, 9,001.14 and 1,618.03 is: 2,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.21 : 9,001.14 = 1,618.03 : x
  2. Step 2: Convert to fraction form
    6,001.21/9,001.14 = 1,618.03/x
  3. Step 3: Cross multiply
    6,001.21x = 9,001.14 × 1,618.03
  4. Step 4: Simplify right side
    6,001.21x = 14,564,114.55
  5. Step 5: Solve for x
    x = 14,564,114.55/6,001.21
  6. Step 6: Final answer
    x = 2,426.86

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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.