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Finding the Fourth Proportional to 9,446.70, 14,162.29 and 6,476.94

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Solution

The fourth proportional to 9,446.70, 14,162.29 and 6,476.94 is: 9,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.70 : 14,162.29 = 6,476.94 : x
  2. Step 2: Convert to fraction form
    9,446.70/14,162.29 = 6,476.94/x
  3. Step 3: Cross multiply
    9,446.70x = 14,162.29 × 6,476.94
  4. Step 4: Simplify right side
    9,446.70x = 91,728,302.59
  5. Step 5: Solve for x
    x = 91,728,302.59/9,446.70
  6. Step 6: Final answer
    x = 9,710.09

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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.