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Finding the Fourth Proportional to 9,201.81, 12,698.04 and 5,222.86

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Solution

The fourth proportional to 9,201.81, 12,698.04 and 5,222.86 is: 7,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.81 : 12,698.04 = 5,222.86 : x
  2. Step 2: Convert to fraction form
    9,201.81/12,698.04 = 5,222.86/x
  3. Step 3: Cross multiply
    9,201.81x = 12,698.04 × 5,222.86
  4. Step 4: Simplify right side
    9,201.81x = 66,320,085.19
  5. Step 5: Solve for x
    x = 66,320,085.19/9,201.81
  6. Step 6: Final answer
    x = 7,207.29

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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.