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Finding the Fourth Proportional to 9,644.84, 14,450.73 and 5,265.36

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Solution

The fourth proportional to 9,644.84, 14,450.73 and 5,265.36 is: 7,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.84 : 14,450.73 = 5,265.36 : x
  2. Step 2: Convert to fraction form
    9,644.84/14,450.73 = 5,265.36/x
  3. Step 3: Cross multiply
    9,644.84x = 14,450.73 × 5,265.36
  4. Step 4: Simplify right side
    9,644.84x = 76,088,295.71
  5. Step 5: Solve for x
    x = 76,088,295.71/9,644.84
  6. Step 6: Final answer
    x = 7,889.02

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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.