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Finding the Fourth Proportional to 6,264.84, 9,361.32 and 4,775.88

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Solution

The fourth proportional to 6,264.84, 9,361.32 and 4,775.88 is: 7,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.84 : 9,361.32 = 4,775.88 : x
  2. Step 2: Convert to fraction form
    6,264.84/9,361.32 = 4,775.88/x
  3. Step 3: Cross multiply
    6,264.84x = 9,361.32 × 4,775.88
  4. Step 4: Simplify right side
    6,264.84x = 44,708,540.96
  5. Step 5: Solve for x
    x = 44,708,540.96/6,264.84
  6. Step 6: Final answer
    x = 7,136.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.