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Finding the Fourth Proportional to 9,122.69, 13,688.10 and 5,227.10

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Solution

The fourth proportional to 9,122.69, 13,688.10 and 5,227.10 is: 7,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.69 : 13,688.10 = 5,227.10 : x
  2. Step 2: Convert to fraction form
    9,122.69/13,688.10 = 5,227.10/x
  3. Step 3: Cross multiply
    9,122.69x = 13,688.10 × 5,227.10
  4. Step 4: Simplify right side
    9,122.69x = 71,548,999.07
  5. Step 5: Solve for x
    x = 71,548,999.07/9,122.69
  6. Step 6: Final answer
    x = 7,842.98

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