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Finding the Fourth Proportional to 6,114.93, 9,169.62 and 2,416.56

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Solution

The fourth proportional to 6,114.93, 9,169.62 and 2,416.56 is: 3,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.93 : 9,169.62 = 2,416.56 : x
  2. Step 2: Convert to fraction form
    6,114.93/9,169.62 = 2,416.56/x
  3. Step 3: Cross multiply
    6,114.93x = 9,169.62 × 2,416.56
  4. Step 4: Simplify right side
    6,114.93x = 22,158,936.91
  5. Step 5: Solve for x
    x = 22,158,936.91/6,114.93
  6. Step 6: Final answer
    x = 3,623.74

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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.