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Finding the Fourth Proportional to 9,390.75, 12,959.33 and 5,199.09

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Solution

The fourth proportional to 9,390.75, 12,959.33 and 5,199.09 is: 7,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.75 : 12,959.33 = 5,199.09 : x
  2. Step 2: Convert to fraction form
    9,390.75/12,959.33 = 5,199.09/x
  3. Step 3: Cross multiply
    9,390.75x = 12,959.33 × 5,199.09
  4. Step 4: Simplify right side
    9,390.75x = 67,376,697.01
  5. Step 5: Solve for x
    x = 67,376,697.01/9,390.75
  6. Step 6: Final answer
    x = 7,174.79

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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.