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Finding the Fourth Proportional to 6,001.44, 9,002.16 and 1,618.90

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Solution

The fourth proportional to 6,001.44, 9,002.16 and 1,618.90 is: 2,428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.44 : 9,002.16 = 1,618.90 : x
  2. Step 2: Convert to fraction form
    6,001.44/9,002.16 = 1,618.90/x
  3. Step 3: Cross multiply
    6,001.44x = 9,002.16 × 1,618.90
  4. Step 4: Simplify right side
    6,001.44x = 14,573,551.81
  5. Step 5: Solve for x
    x = 14,573,551.81/6,001.44
  6. Step 6: Final answer
    x = 2,428.34

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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.