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Finding the Fourth Proportional to 9,807.70, 14,706.92 and 3,563.31

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Solution

The fourth proportional to 9,807.70, 14,706.92 and 3,563.31 is: 5,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.70 : 14,706.92 = 3,563.31 : x
  2. Step 2: Convert to fraction form
    9,807.70/14,706.92 = 3,563.31/x
  3. Step 3: Cross multiply
    9,807.70x = 14,706.92 × 3,563.31
  4. Step 4: Simplify right side
    9,807.70x = 52,405,241.57
  5. Step 5: Solve for x
    x = 52,405,241.57/9,807.70
  6. Step 6: Final answer
    x = 5,343.28

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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.