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Finding the Fourth Proportional to 7,046.54, 9,723.69 and 3,902.66

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Solution

The fourth proportional to 7,046.54, 9,723.69 and 3,902.66 is: 5,385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.54 : 9,723.69 = 3,902.66 : x
  2. Step 2: Convert to fraction form
    7,046.54/9,723.69 = 3,902.66/x
  3. Step 3: Cross multiply
    7,046.54x = 9,723.69 × 3,902.66
  4. Step 4: Simplify right side
    7,046.54x = 37,948,256.02
  5. Step 5: Solve for x
    x = 37,948,256.02/7,046.54
  6. Step 6: Final answer
    x = 5,385.37

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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.