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Finding the Fourth Proportional to 9,193.16, 13,781.64 and 3,348.56

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Solution

The fourth proportional to 9,193.16, 13,781.64 and 3,348.56 is: 5,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.16 : 13,781.64 = 3,348.56 : x
  2. Step 2: Convert to fraction form
    9,193.16/13,781.64 = 3,348.56/x
  3. Step 3: Cross multiply
    9,193.16x = 13,781.64 × 3,348.56
  4. Step 4: Simplify right side
    9,193.16x = 46,148,648.44
  5. Step 5: Solve for x
    x = 46,148,648.44/9,193.16
  6. Step 6: Final answer
    x = 5,019.89

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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.