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Finding the Fourth Proportional to 9,198.18, 12,693.54 and 5,006.44

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Solution

The fourth proportional to 9,198.18, 12,693.54 and 5,006.44 is: 6,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.18 : 12,693.54 = 5,006.44 : x
  2. Step 2: Convert to fraction form
    9,198.18/12,693.54 = 5,006.44/x
  3. Step 3: Cross multiply
    9,198.18x = 12,693.54 × 5,006.44
  4. Step 4: Simplify right side
    9,198.18x = 63,549,446.40
  5. Step 5: Solve for x
    x = 63,549,446.40/9,198.18
  6. Step 6: Final answer
    x = 6,908.92

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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.