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Finding the Fourth Proportional to 9,212.54, 12,709.69 and 5,669.60

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Solution

The fourth proportional to 9,212.54, 12,709.69 and 5,669.60 is: 7,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.54 : 12,709.69 = 5,669.60 : x
  2. Step 2: Convert to fraction form
    9,212.54/12,709.69 = 5,669.60/x
  3. Step 3: Cross multiply
    9,212.54x = 12,709.69 × 5,669.60
  4. Step 4: Simplify right side
    9,212.54x = 72,058,780.70
  5. Step 5: Solve for x
    x = 72,058,780.70/9,212.54
  6. Step 6: Final answer
    x = 7,821.82

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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.