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Finding the Fourth Proportional to 9,293, 13,944.28 and 6,175.16

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Solution

The fourth proportional to 9,293, 13,944.28 and 6,175.16 is: 9,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293 : 13,944.28 = 6,175.16 : x
  2. Step 2: Convert to fraction form
    9,293/13,944.28 = 6,175.16/x
  3. Step 3: Cross multiply
    9,293x = 13,944.28 × 6,175.16
  4. Step 4: Simplify right side
    9,293x = 86,108,160.08
  5. Step 5: Solve for x
    x = 86,108,160.08/9,293
  6. Step 6: Final answer
    x = 9,265.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.