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Finding the Fourth Proportional to 9,704, 13,391.52 and 5,288

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Solution

The fourth proportional to 9,704, 13,391.52 and 5,288 is: 7,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704 : 13,391.52 = 5,288 : x
  2. Step 2: Convert to fraction form
    9,704/13,391.52 = 5,288/x
  3. Step 3: Cross multiply
    9,704x = 13,391.52 × 5,288
  4. Step 4: Simplify right side
    9,704x = 70,814,357.76
  5. Step 5: Solve for x
    x = 70,814,357.76/9,704
  6. Step 6: Final answer
    x = 7,297.44

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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.