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Finding the Fourth Proportional to 9,683.37, 14,529.96 and 7,223.13

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Solution

The fourth proportional to 9,683.37, 14,529.96 and 7,223.13 is: 10,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.37 : 14,529.96 = 7,223.13 : x
  2. Step 2: Convert to fraction form
    9,683.37/14,529.96 = 7,223.13/x
  3. Step 3: Cross multiply
    9,683.37x = 14,529.96 × 7,223.13
  4. Step 4: Simplify right side
    9,683.37x = 104,951,789.97
  5. Step 5: Solve for x
    x = 104,951,789.97/9,683.37
  6. Step 6: Final answer
    x = 10,838.35

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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.