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Finding the Fourth Proportional to 9,383.75, 12,946.43 and 5,404.78

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Solution

The fourth proportional to 9,383.75, 12,946.43 and 5,404.78 is: 7,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.75 : 12,946.43 = 5,404.78 : x
  2. Step 2: Convert to fraction form
    9,383.75/12,946.43 = 5,404.78/x
  3. Step 3: Cross multiply
    9,383.75x = 12,946.43 × 5,404.78
  4. Step 4: Simplify right side
    9,383.75x = 69,972,546.55
  5. Step 5: Solve for x
    x = 69,972,546.55/9,383.75
  6. Step 6: Final answer
    x = 7,456.78

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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.