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Finding the Fourth Proportional to 9,838.16, 14,756.63 and 3,994.62

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Solution

The fourth proportional to 9,838.16, 14,756.63 and 3,994.62 is: 5,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.16 : 14,756.63 = 3,994.62 : x
  2. Step 2: Convert to fraction form
    9,838.16/14,756.63 = 3,994.62/x
  3. Step 3: Cross multiply
    9,838.16x = 14,756.63 × 3,994.62
  4. Step 4: Simplify right side
    9,838.16x = 58,947,076.49
  5. Step 5: Solve for x
    x = 58,947,076.49/9,838.16
  6. Step 6: Final answer
    x = 5,991.68

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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.