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Finding the Fourth Proportional to 6,114.36, 9,169.24 and 2,417.40

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Solution

The fourth proportional to 6,114.36, 9,169.24 and 2,417.40 is: 3,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.36 : 9,169.24 = 2,417.40 : x
  2. Step 2: Convert to fraction form
    6,114.36/9,169.24 = 2,417.40/x
  3. Step 3: Cross multiply
    6,114.36x = 9,169.24 × 2,417.40
  4. Step 4: Simplify right side
    6,114.36x = 22,165,720.78
  5. Step 5: Solve for x
    x = 22,165,720.78/6,114.36
  6. Step 6: Final answer
    x = 3,625.19

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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.