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Finding the Fourth Proportional to 9,189.92, 12,682.08 and 4,998.14

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Solution

The fourth proportional to 9,189.92, 12,682.08 and 4,998.14 is: 6,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.92 : 12,682.08 = 4,998.14 : x
  2. Step 2: Convert to fraction form
    9,189.92/12,682.08 = 4,998.14/x
  3. Step 3: Cross multiply
    9,189.92x = 12,682.08 × 4,998.14
  4. Step 4: Simplify right side
    9,189.92x = 63,386,811.33
  5. Step 5: Solve for x
    x = 63,386,811.33/9,189.92
  6. Step 6: Final answer
    x = 6,897.43

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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.