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Finding the Fourth Proportional to 9,794.40, 14,682.96 and 4,606.56

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Solution

The fourth proportional to 9,794.40, 14,682.96 and 4,606.56 is: 6,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.40 : 14,682.96 = 4,606.56 : x
  2. Step 2: Convert to fraction form
    9,794.40/14,682.96 = 4,606.56/x
  3. Step 3: Cross multiply
    9,794.40x = 14,682.96 × 4,606.56
  4. Step 4: Simplify right side
    9,794.40x = 67,637,936.22
  5. Step 5: Solve for x
    x = 67,637,936.22/9,794.40
  6. Step 6: Final answer
    x = 6,905.78

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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.