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Finding the Fourth Proportional to 30,794.87, 46,188.31 and 9,737.03

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Solution

The fourth proportional to 30,794.87, 46,188.31 and 9,737.03 is: 14,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.87 : 46,188.31 = 9,737.03 : x
  2. Step 2: Convert to fraction form
    30,794.87/46,188.31 = 9,737.03/x
  3. Step 3: Cross multiply
    30,794.87x = 46,188.31 × 9,737.03
  4. Step 4: Simplify right side
    30,794.87x = 449,736,960.12
  5. Step 5: Solve for x
    x = 449,736,960.12/30,794.87
  6. Step 6: Final answer
    x = 14,604.28

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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.