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Finding the Fourth Proportional to 6,915.38, 9,543.29 and 3,771.63

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Solution

The fourth proportional to 6,915.38, 9,543.29 and 3,771.63 is: 5,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.38 : 9,543.29 = 3,771.63 : x
  2. Step 2: Convert to fraction form
    6,915.38/9,543.29 = 3,771.63/x
  3. Step 3: Cross multiply
    6,915.38x = 9,543.29 × 3,771.63
  4. Step 4: Simplify right side
    6,915.38x = 35,993,740.00
  5. Step 5: Solve for x
    x = 35,993,740.00/6,915.38
  6. Step 6: Final answer
    x = 5,204.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.