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Finding the Fourth Proportional to 9,825.46, 14,745.32 and 7,366.91

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Solution

The fourth proportional to 9,825.46, 14,745.32 and 7,366.91 is: 11,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.46 : 14,745.32 = 7,366.91 : x
  2. Step 2: Convert to fraction form
    9,825.46/14,745.32 = 7,366.91/x
  3. Step 3: Cross multiply
    9,825.46x = 14,745.32 × 7,366.91
  4. Step 4: Simplify right side
    9,825.46x = 108,627,390.05
  5. Step 5: Solve for x
    x = 108,627,390.05/9,825.46
  6. Step 6: Final answer
    x = 11,055.71

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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.