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Finding the Fourth Proportional to 9,273.16, 12,794.67 and 5,497.21

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Solution

The fourth proportional to 9,273.16, 12,794.67 and 5,497.21 is: 7,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.16 : 12,794.67 = 5,497.21 : x
  2. Step 2: Convert to fraction form
    9,273.16/12,794.67 = 5,497.21/x
  3. Step 3: Cross multiply
    9,273.16x = 12,794.67 × 5,497.21
  4. Step 4: Simplify right side
    9,273.16x = 70,334,955.88
  5. Step 5: Solve for x
    x = 70,334,955.88/9,273.16
  6. Step 6: Final answer
    x = 7,584.79

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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.