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Finding the Fourth Proportional to 9,212.48, 13,822.48 and 4,832.80

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Solution

The fourth proportional to 9,212.48, 13,822.48 and 4,832.80 is: 7,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.48 : 13,822.48 = 4,832.80 : x
  2. Step 2: Convert to fraction form
    9,212.48/13,822.48 = 4,832.80/x
  3. Step 3: Cross multiply
    9,212.48x = 13,822.48 × 4,832.80
  4. Step 4: Simplify right side
    9,212.48x = 66,801,281.34
  5. Step 5: Solve for x
    x = 66,801,281.34/9,212.48
  6. Step 6: Final answer
    x = 7,251.17

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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.