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Finding the Fourth Proportional to 9,806.06, 14,709.09 and 2,880.56

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Solution

The fourth proportional to 9,806.06, 14,709.09 and 2,880.56 is: 4,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.06 : 14,709.09 = 2,880.56 : x
  2. Step 2: Convert to fraction form
    9,806.06/14,709.09 = 2,880.56/x
  3. Step 3: Cross multiply
    9,806.06x = 14,709.09 × 2,880.56
  4. Step 4: Simplify right side
    9,806.06x = 42,370,463.87
  5. Step 5: Solve for x
    x = 42,370,463.87/9,806.06
  6. Step 6: Final answer
    x = 4,320.84

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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.