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Finding the Fourth Proportional to 9,169.16, 12,653.63 and 5,190.26

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Solution

The fourth proportional to 9,169.16, 12,653.63 and 5,190.26 is: 7,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.16 : 12,653.63 = 5,190.26 : x
  2. Step 2: Convert to fraction form
    9,169.16/12,653.63 = 5,190.26/x
  3. Step 3: Cross multiply
    9,169.16x = 12,653.63 × 5,190.26
  4. Step 4: Simplify right side
    9,169.16x = 65,675,674.25
  5. Step 5: Solve for x
    x = 65,675,674.25/9,169.16
  6. Step 6: Final answer
    x = 7,162.67

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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.