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Finding the Fourth Proportional to 6,292.97, 9,426.49 and 3,689.63

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Solution

The fourth proportional to 6,292.97, 9,426.49 and 3,689.63 is: 5,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.97 : 9,426.49 = 3,689.63 : x
  2. Step 2: Convert to fraction form
    6,292.97/9,426.49 = 3,689.63/x
  3. Step 3: Cross multiply
    6,292.97x = 9,426.49 × 3,689.63
  4. Step 4: Simplify right side
    6,292.97x = 34,780,203.94
  5. Step 5: Solve for x
    x = 34,780,203.94/6,292.97
  6. Step 6: Final answer
    x = 5,526.84

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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.