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Finding the Fourth Proportional to 6,284.42, 9,426.62 and 1,604.43

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Solution

The fourth proportional to 6,284.42, 9,426.62 and 1,604.43 is: 2,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.42 : 9,426.62 = 1,604.43 : x
  2. Step 2: Convert to fraction form
    6,284.42/9,426.62 = 1,604.43/x
  3. Step 3: Cross multiply
    6,284.42x = 9,426.62 × 1,604.43
  4. Step 4: Simplify right side
    6,284.42x = 15,124,311.52
  5. Step 5: Solve for x
    x = 15,124,311.52/6,284.42
  6. Step 6: Final answer
    x = 2,406.64

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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.