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Finding the Fourth Proportional to 9,825.37, 14,737.91 and 2,429.83

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Solution

The fourth proportional to 9,825.37, 14,737.91 and 2,429.83 is: 3,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.37 : 14,737.91 = 2,429.83 : x
  2. Step 2: Convert to fraction form
    9,825.37/14,737.91 = 2,429.83/x
  3. Step 3: Cross multiply
    9,825.37x = 14,737.91 × 2,429.83
  4. Step 4: Simplify right side
    9,825.37x = 35,810,615.86
  5. Step 5: Solve for x
    x = 35,810,615.86/9,825.37
  6. Step 6: Final answer
    x = 3,644.71

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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.