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Finding the Fourth Proportional to 9,161.94, 13,735.22 and 6,380.40

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Solution

The fourth proportional to 9,161.94, 13,735.22 and 6,380.40 is: 9,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.94 : 13,735.22 = 6,380.40 : x
  2. Step 2: Convert to fraction form
    9,161.94/13,735.22 = 6,380.40/x
  3. Step 3: Cross multiply
    9,161.94x = 13,735.22 × 6,380.40
  4. Step 4: Simplify right side
    9,161.94x = 87,636,165.79
  5. Step 5: Solve for x
    x = 87,636,165.79/9,161.94
  6. Step 6: Final answer
    x = 9,565.24

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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.