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Finding the Fourth Proportional to 7,032, 9,704.32 and 3,845.51

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Solution

The fourth proportional to 7,032, 9,704.32 and 3,845.51 is: 5,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032 : 9,704.32 = 3,845.51 : x
  2. Step 2: Convert to fraction form
    7,032/9,704.32 = 3,845.51/x
  3. Step 3: Cross multiply
    7,032x = 9,704.32 × 3,845.51
  4. Step 4: Simplify right side
    7,032x = 37,318,001.47
  5. Step 5: Solve for x
    x = 37,318,001.47/7,032
  6. Step 6: Final answer
    x = 5,306.88

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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.