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Finding the Fourth Proportional to 9,193.68, 13,782.16 and 3,348.96

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Solution

The fourth proportional to 9,193.68, 13,782.16 and 3,348.96 is: 5,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.68 : 13,782.16 = 3,348.96 : x
  2. Step 2: Convert to fraction form
    9,193.68/13,782.16 = 3,348.96/x
  3. Step 3: Cross multiply
    9,193.68x = 13,782.16 × 3,348.96
  4. Step 4: Simplify right side
    9,193.68x = 46,155,902.55
  5. Step 5: Solve for x
    x = 46,155,902.55/9,193.68
  6. Step 6: Final answer
    x = 5,020.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.