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Finding the Fourth Proportional to 9,410.68, 14,116.62 and 2,485

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Solution

The fourth proportional to 9,410.68, 14,116.62 and 2,485 is: 3,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.68 : 14,116.62 = 2,485 : x
  2. Step 2: Convert to fraction form
    9,410.68/14,116.62 = 2,485/x
  3. Step 3: Cross multiply
    9,410.68x = 14,116.62 × 2,485
  4. Step 4: Simplify right side
    9,410.68x = 35,079,800.70
  5. Step 5: Solve for x
    x = 35,079,800.70/9,410.68
  6. Step 6: Final answer
    x = 3,727.66

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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.