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Finding the Fourth Proportional to 9,201.30, 12,698.19 and 5,222.79

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Solution

The fourth proportional to 9,201.30, 12,698.19 and 5,222.79 is: 7,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.30 : 12,698.19 = 5,222.79 : x
  2. Step 2: Convert to fraction form
    9,201.30/12,698.19 = 5,222.79/x
  3. Step 3: Cross multiply
    9,201.30x = 12,698.19 × 5,222.79
  4. Step 4: Simplify right side
    9,201.30x = 66,319,890.15
  5. Step 5: Solve for x
    x = 66,319,890.15/9,201.30
  6. Step 6: Final answer
    x = 7,207.67

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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.