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Finding the Fourth Proportional to 9,522.78, 13,141.07 and 5,273.50

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Solution

The fourth proportional to 9,522.78, 13,141.07 and 5,273.50 is: 7,277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.78 : 13,141.07 = 5,273.50 : x
  2. Step 2: Convert to fraction form
    9,522.78/13,141.07 = 5,273.50/x
  3. Step 3: Cross multiply
    9,522.78x = 13,141.07 × 5,273.50
  4. Step 4: Simplify right side
    9,522.78x = 69,299,432.65
  5. Step 5: Solve for x
    x = 69,299,432.65/9,522.78
  6. Step 6: Final answer
    x = 7,277.23

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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.