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Finding the Fourth Proportional to 9,212.52, 12,709.67 and 5,669.58

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Solution

The fourth proportional to 9,212.52, 12,709.67 and 5,669.58 is: 7,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.52 : 12,709.67 = 5,669.58 : x
  2. Step 2: Convert to fraction form
    9,212.52/12,709.67 = 5,669.58/x
  3. Step 3: Cross multiply
    9,212.52x = 12,709.67 × 5,669.58
  4. Step 4: Simplify right side
    9,212.52x = 72,058,490.84
  5. Step 5: Solve for x
    x = 72,058,490.84/9,212.52
  6. Step 6: Final answer
    x = 7,821.80

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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.