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Finding the Fourth Proportional to 9,654, 13,322.52 and 5,238

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Solution

The fourth proportional to 9,654, 13,322.52 and 5,238 is: 7,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654 : 13,322.52 = 5,238 : x
  2. Step 2: Convert to fraction form
    9,654/13,322.52 = 5,238/x
  3. Step 3: Cross multiply
    9,654x = 13,322.52 × 5,238
  4. Step 4: Simplify right side
    9,654x = 69,783,359.76
  5. Step 5: Solve for x
    x = 69,783,359.76/9,654
  6. Step 6: Final answer
    x = 7,228.44

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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.