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Finding the Fourth Proportional to 9,838.56, 14,759.33 and 3,263.25

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Solution

The fourth proportional to 9,838.56, 14,759.33 and 3,263.25 is: 4,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.56 : 14,759.33 = 3,263.25 : x
  2. Step 2: Convert to fraction form
    9,838.56/14,759.33 = 3,263.25/x
  3. Step 3: Cross multiply
    9,838.56x = 14,759.33 × 3,263.25
  4. Step 4: Simplify right side
    9,838.56x = 48,163,367.31
  5. Step 5: Solve for x
    x = 48,163,367.31/9,838.56
  6. Step 6: Final answer
    x = 4,895.37

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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.