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Finding the Fourth Proportional to 9,195.96, 13,801.90 and 4,816.48

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Solution

The fourth proportional to 9,195.96, 13,801.90 and 4,816.48 is: 7,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.96 : 13,801.90 = 4,816.48 : x
  2. Step 2: Convert to fraction form
    9,195.96/13,801.90 = 4,816.48/x
  3. Step 3: Cross multiply
    9,195.96x = 13,801.90 × 4,816.48
  4. Step 4: Simplify right side
    9,195.96x = 66,476,575.31
  5. Step 5: Solve for x
    x = 66,476,575.31/9,195.96
  6. Step 6: Final answer
    x = 7,228.89

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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.