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Finding the Fourth Proportional to 6,915.37, 9,542.89 and 4,231.05

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Solution

The fourth proportional to 6,915.37, 9,542.89 and 4,231.05 is: 5,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.37 : 9,542.89 = 4,231.05 : x
  2. Step 2: Convert to fraction form
    6,915.37/9,542.89 = 4,231.05/x
  3. Step 3: Cross multiply
    6,915.37x = 9,542.89 × 4,231.05
  4. Step 4: Simplify right side
    6,915.37x = 40,376,423.58
  5. Step 5: Solve for x
    x = 40,376,423.58/6,915.37
  6. Step 6: Final answer
    x = 5,838.65

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