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Finding the Fourth Proportional to 6,114.25, 9,165.16 and 2,411.40

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Solution

The fourth proportional to 6,114.25, 9,165.16 and 2,411.40 is: 3,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.25 : 9,165.16 = 2,411.40 : x
  2. Step 2: Convert to fraction form
    6,114.25/9,165.16 = 2,411.40/x
  3. Step 3: Cross multiply
    6,114.25x = 9,165.16 × 2,411.40
  4. Step 4: Simplify right side
    6,114.25x = 22,100,866.82
  5. Step 5: Solve for x
    x = 22,100,866.82/6,114.25
  6. Step 6: Final answer
    x = 3,614.65

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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.