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Finding the Fourth Proportional to 9,816.75, 14,725.26 and 5,442.75

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Solution

The fourth proportional to 9,816.75, 14,725.26 and 5,442.75 is: 8,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.75 : 14,725.26 = 5,442.75 : x
  2. Step 2: Convert to fraction form
    9,816.75/14,725.26 = 5,442.75/x
  3. Step 3: Cross multiply
    9,816.75x = 14,725.26 × 5,442.75
  4. Step 4: Simplify right side
    9,816.75x = 80,145,908.87
  5. Step 5: Solve for x
    x = 80,145,908.87/9,816.75
  6. Step 6: Final answer
    x = 8,164.20

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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.