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Finding the Fourth Proportional to 9,664.70, 13,336.23 and 5,687.10

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Solution

The fourth proportional to 9,664.70, 13,336.23 and 5,687.10 is: 7,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.70 : 13,336.23 = 5,687.10 : x
  2. Step 2: Convert to fraction form
    9,664.70/13,336.23 = 5,687.10/x
  3. Step 3: Cross multiply
    9,664.70x = 13,336.23 × 5,687.10
  4. Step 4: Simplify right side
    9,664.70x = 75,844,473.63
  5. Step 5: Solve for x
    x = 75,844,473.63/9,664.70
  6. Step 6: Final answer
    x = 7,847.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.