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Finding the Fourth Proportional to 9,403.66, 14,106.19 and 3,163.69

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Solution

The fourth proportional to 9,403.66, 14,106.19 and 3,163.69 is: 4,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.66 : 14,106.19 = 3,163.69 : x
  2. Step 2: Convert to fraction form
    9,403.66/14,106.19 = 3,163.69/x
  3. Step 3: Cross multiply
    9,403.66x = 14,106.19 × 3,163.69
  4. Step 4: Simplify right side
    9,403.66x = 44,627,569.07
  5. Step 5: Solve for x
    x = 44,627,569.07/9,403.66
  6. Step 6: Final answer
    x = 4,745.77

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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.