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Finding the Fourth Proportional to 9,481.75, 14,223.98 and 5,038.26

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Solution

The fourth proportional to 9,481.75, 14,223.98 and 5,038.26 is: 7,558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.75 : 14,223.98 = 5,038.26 : x
  2. Step 2: Convert to fraction form
    9,481.75/14,223.98 = 5,038.26/x
  3. Step 3: Cross multiply
    9,481.75x = 14,223.98 × 5,038.26
  4. Step 4: Simplify right side
    9,481.75x = 71,664,109.47
  5. Step 5: Solve for x
    x = 71,664,109.47/9,481.75
  6. Step 6: Final answer
    x = 7,558.11

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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.