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Finding the Fourth Proportional to 9,201.27, 12,698.90 and 5,223.67

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Solution

The fourth proportional to 9,201.27, 12,698.90 and 5,223.67 is: 7,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.27 : 12,698.90 = 5,223.67 : x
  2. Step 2: Convert to fraction form
    9,201.27/12,698.90 = 5,223.67/x
  3. Step 3: Cross multiply
    9,201.27x = 12,698.90 × 5,223.67
  4. Step 4: Simplify right side
    9,201.27x = 66,334,862.96
  5. Step 5: Solve for x
    x = 66,334,862.96/9,201.27
  6. Step 6: Final answer
    x = 7,209.32

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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.