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Finding the Fourth Proportional to 6,361.84, 9,535.92 and 6,292.72

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Solution

The fourth proportional to 6,361.84, 9,535.92 and 6,292.72 is: 9,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.84 : 9,535.92 = 6,292.72 : x
  2. Step 2: Convert to fraction form
    6,361.84/9,535.92 = 6,292.72/x
  3. Step 3: Cross multiply
    6,361.84x = 9,535.92 × 6,292.72
  4. Step 4: Simplify right side
    6,361.84x = 60,006,874.50
  5. Step 5: Solve for x
    x = 60,006,874.50/6,361.84
  6. Step 6: Final answer
    x = 9,432.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.