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Finding the Fourth Proportional to 9,806.14, 14,711.69 and 2,880.64

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Solution

The fourth proportional to 9,806.14, 14,711.69 and 2,880.64 is: 4,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.14 : 14,711.69 = 2,880.64 : x
  2. Step 2: Convert to fraction form
    9,806.14/14,711.69 = 2,880.64/x
  3. Step 3: Cross multiply
    9,806.14x = 14,711.69 × 2,880.64
  4. Step 4: Simplify right side
    9,806.14x = 42,379,082.68
  5. Step 5: Solve for x
    x = 42,379,082.68/9,806.14
  6. Step 6: Final answer
    x = 4,321.69

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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.