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Finding the Fourth Proportional to 9,786.40, 14,646.20 and 6,226.72

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Solution

The fourth proportional to 9,786.40, 14,646.20 and 6,226.72 is: 9,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.40 : 14,646.20 = 6,226.72 : x
  2. Step 2: Convert to fraction form
    9,786.40/14,646.20 = 6,226.72/x
  3. Step 3: Cross multiply
    9,786.40x = 14,646.20 × 6,226.72
  4. Step 4: Simplify right side
    9,786.40x = 91,197,786.46
  5. Step 5: Solve for x
    x = 91,197,786.46/9,786.40
  6. Step 6: Final answer
    x = 9,318.83

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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.