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Finding the Fourth Proportional to 6,835.53, 9,433.03 and 3,691.72

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Solution

The fourth proportional to 6,835.53, 9,433.03 and 3,691.72 is: 5,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.53 : 9,433.03 = 3,691.72 : x
  2. Step 2: Convert to fraction form
    6,835.53/9,433.03 = 3,691.72/x
  3. Step 3: Cross multiply
    6,835.53x = 9,433.03 × 3,691.72
  4. Step 4: Simplify right side
    6,835.53x = 34,824,053.73
  5. Step 5: Solve for x
    x = 34,824,053.73/6,835.53
  6. Step 6: Final answer
    x = 5,094.57

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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.