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Finding the Fourth Proportional to 9,819.78, 13,551.42 and 5,628

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Solution

The fourth proportional to 9,819.78, 13,551.42 and 5,628 is: 7,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.78 : 13,551.42 = 5,628 : x
  2. Step 2: Convert to fraction form
    9,819.78/13,551.42 = 5,628/x
  3. Step 3: Cross multiply
    9,819.78x = 13,551.42 × 5,628
  4. Step 4: Simplify right side
    9,819.78x = 76,267,391.76
  5. Step 5: Solve for x
    x = 76,267,391.76/9,819.78
  6. Step 6: Final answer
    x = 7,766.71

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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.