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Finding the Fourth Proportional to 9,119.09, 13,680.17 and 4,189.16

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Solution

The fourth proportional to 9,119.09, 13,680.17 and 4,189.16 is: 6,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.09 : 13,680.17 = 4,189.16 : x
  2. Step 2: Convert to fraction form
    9,119.09/13,680.17 = 4,189.16/x
  3. Step 3: Cross multiply
    9,119.09x = 13,680.17 × 4,189.16
  4. Step 4: Simplify right side
    9,119.09x = 57,308,420.96
  5. Step 5: Solve for x
    x = 57,308,420.96/9,119.09
  6. Step 6: Final answer
    x = 6,284.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.