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Finding the Fourth Proportional to 9,505.50, 14,261.16 and 6,737.58

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Solution

The fourth proportional to 9,505.50, 14,261.16 and 6,737.58 is: 10,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.50 : 14,261.16 = 6,737.58 : x
  2. Step 2: Convert to fraction form
    9,505.50/14,261.16 = 6,737.58/x
  3. Step 3: Cross multiply
    9,505.50x = 14,261.16 × 6,737.58
  4. Step 4: Simplify right side
    9,505.50x = 96,085,706.39
  5. Step 5: Solve for x
    x = 96,085,706.39/9,505.50
  6. Step 6: Final answer
    x = 10,108.43

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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.