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Finding the Fourth Proportional to 9,406.88, 14,110.32 and 3,860.32

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Solution

The fourth proportional to 9,406.88, 14,110.32 and 3,860.32 is: 5,790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.88 : 14,110.32 = 3,860.32 : x
  2. Step 2: Convert to fraction form
    9,406.88/14,110.32 = 3,860.32/x
  3. Step 3: Cross multiply
    9,406.88x = 14,110.32 × 3,860.32
  4. Step 4: Simplify right side
    9,406.88x = 54,470,350.50
  5. Step 5: Solve for x
    x = 54,470,350.50/9,406.88
  6. Step 6: Final answer
    x = 5,790.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.