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Finding the Fourth Proportional to 9,731.94, 14,603.47 and 3,809.32

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Solution

The fourth proportional to 9,731.94, 14,603.47 and 3,809.32 is: 5,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.94 : 14,603.47 = 3,809.32 : x
  2. Step 2: Convert to fraction form
    9,731.94/14,603.47 = 3,809.32/x
  3. Step 3: Cross multiply
    9,731.94x = 14,603.47 × 3,809.32
  4. Step 4: Simplify right side
    9,731.94x = 55,629,217.32
  5. Step 5: Solve for x
    x = 55,629,217.32/9,731.94
  6. Step 6: Final answer
    x = 5,716.15

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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.