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Finding the Fourth Proportional to 6,161, 9,242.96 and 2,001.02

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Solution

The fourth proportional to 6,161, 9,242.96 and 2,001.02 is: 3,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161 : 9,242.96 = 2,001.02 : x
  2. Step 2: Convert to fraction form
    6,161/9,242.96 = 2,001.02/x
  3. Step 3: Cross multiply
    6,161x = 9,242.96 × 2,001.02
  4. Step 4: Simplify right side
    6,161x = 18,495,347.82
  5. Step 5: Solve for x
    x = 18,495,347.82/6,161
  6. Step 6: Final answer
    x = 3,002.00

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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.