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Finding the Fourth Proportional to 9,168.14, 12,651.65 and 5,189.47

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Solution

The fourth proportional to 9,168.14, 12,651.65 and 5,189.47 is: 7,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.14 : 12,651.65 = 5,189.47 : x
  2. Step 2: Convert to fraction form
    9,168.14/12,651.65 = 5,189.47/x
  3. Step 3: Cross multiply
    9,168.14x = 12,651.65 × 5,189.47
  4. Step 4: Simplify right side
    9,168.14x = 65,655,358.13
  5. Step 5: Solve for x
    x = 65,655,358.13/9,168.14
  6. Step 6: Final answer
    x = 7,161.25

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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.