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Finding the Fourth Proportional to 9,168.92, 12,653.40 and 5,189.96

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Solution

The fourth proportional to 9,168.92, 12,653.40 and 5,189.96 is: 7,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.92 : 12,653.40 = 5,189.96 : x
  2. Step 2: Convert to fraction form
    9,168.92/12,653.40 = 5,189.96/x
  3. Step 3: Cross multiply
    9,168.92x = 12,653.40 × 5,189.96
  4. Step 4: Simplify right side
    9,168.92x = 65,670,639.86
  5. Step 5: Solve for x
    x = 65,670,639.86/9,168.92
  6. Step 6: Final answer
    x = 7,162.31

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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.