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Finding the Fourth Proportional to 9,806.64, 14,712.44 and 2,881.14

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Solution

The fourth proportional to 9,806.64, 14,712.44 and 2,881.14 is: 4,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.64 : 14,712.44 = 2,881.14 : x
  2. Step 2: Convert to fraction form
    9,806.64/14,712.44 = 2,881.14/x
  3. Step 3: Cross multiply
    9,806.64x = 14,712.44 × 2,881.14
  4. Step 4: Simplify right side
    9,806.64x = 42,388,584.98
  5. Step 5: Solve for x
    x = 42,388,584.98/9,806.64
  6. Step 6: Final answer
    x = 4,322.44

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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.