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Finding the Fourth Proportional to 9,198.22, 12,693.14 and 5,109.78

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Solution

The fourth proportional to 9,198.22, 12,693.14 and 5,109.78 is: 7,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.22 : 12,693.14 = 5,109.78 : x
  2. Step 2: Convert to fraction form
    9,198.22/12,693.14 = 5,109.78/x
  3. Step 3: Cross multiply
    9,198.22x = 12,693.14 × 5,109.78
  4. Step 4: Simplify right side
    9,198.22x = 64,859,152.91
  5. Step 5: Solve for x
    x = 64,859,152.91/9,198.22
  6. Step 6: Final answer
    x = 7,051.27

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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.