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Finding the Fourth Proportional to 9,189.05, 12,680.96 and 5,411.00

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Solution

The fourth proportional to 9,189.05, 12,680.96 and 5,411.00 is: 7,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.05 : 12,680.96 = 5,411.00 : x
  2. Step 2: Convert to fraction form
    9,189.05/12,680.96 = 5,411.00/x
  3. Step 3: Cross multiply
    9,189.05x = 12,680.96 × 5,411.00
  4. Step 4: Simplify right side
    9,189.05x = 68,616,679.21
  5. Step 5: Solve for x
    x = 68,616,679.21/9,189.05
  6. Step 6: Final answer
    x = 7,467.23

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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.