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Finding the Fourth Proportional to 9,737.37, 14,603.90 and 3,892.41

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Solution

The fourth proportional to 9,737.37, 14,603.90 and 3,892.41 is: 5,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.37 : 14,603.90 = 3,892.41 : x
  2. Step 2: Convert to fraction form
    9,737.37/14,603.90 = 3,892.41/x
  3. Step 3: Cross multiply
    9,737.37x = 14,603.90 × 3,892.41
  4. Step 4: Simplify right side
    9,737.37x = 56,844,346.94
  5. Step 5: Solve for x
    x = 56,844,346.94/9,737.37
  6. Step 6: Final answer
    x = 5,837.75

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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.