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Finding the Fourth Proportional to 9,189.94, 12,682.25 and 4,998.19

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Solution

The fourth proportional to 9,189.94, 12,682.25 and 4,998.19 is: 6,897.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.94 : 12,682.25 = 4,998.19 : x
  2. Step 2: Convert to fraction form
    9,189.94/12,682.25 = 4,998.19/x
  3. Step 3: Cross multiply
    9,189.94x = 12,682.25 × 4,998.19
  4. Step 4: Simplify right side
    9,189.94x = 63,388,295.13
  5. Step 5: Solve for x
    x = 63,388,295.13/9,189.94
  6. Step 6: Final answer
    x = 6,897.57

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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.