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Finding the Fourth Proportional to 6,064.94, 9,097.40 and 1,682.43

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Solution

The fourth proportional to 6,064.94, 9,097.40 and 1,682.43 is: 2,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.94 : 9,097.40 = 1,682.43 : x
  2. Step 2: Convert to fraction form
    6,064.94/9,097.40 = 1,682.43/x
  3. Step 3: Cross multiply
    6,064.94x = 9,097.40 × 1,682.43
  4. Step 4: Simplify right side
    6,064.94x = 15,305,730.27
  5. Step 5: Solve for x
    x = 15,305,730.27/6,064.94
  6. Step 6: Final answer
    x = 2,523.64

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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.