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Finding the Fourth Proportional to 6,835.51, 9,433 and 3,691.70

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Solution

The fourth proportional to 6,835.51, 9,433 and 3,691.70 is: 5,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.51 : 9,433 = 3,691.70 : x
  2. Step 2: Convert to fraction form
    6,835.51/9,433 = 3,691.70/x
  3. Step 3: Cross multiply
    6,835.51x = 9,433 × 3,691.70
  4. Step 4: Simplify right side
    6,835.51x = 34,823,758.94
  5. Step 5: Solve for x
    x = 34,823,758.94/6,835.51
  6. Step 6: Final answer
    x = 5,094.54

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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.