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Finding the Fourth Proportional to 7,193.33, 9,924.84 and 4,209.89

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Solution

The fourth proportional to 7,193.33, 9,924.84 and 4,209.89 is: 5,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.33 : 9,924.84 = 4,209.89 : x
  2. Step 2: Convert to fraction form
    7,193.33/9,924.84 = 4,209.89/x
  3. Step 3: Cross multiply
    7,193.33x = 9,924.84 × 4,209.89
  4. Step 4: Simplify right side
    7,193.33x = 41,782,509.48
  5. Step 5: Solve for x
    x = 41,782,509.48/7,193.33
  6. Step 6: Final answer
    x = 5,808.51

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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.