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Finding the Fourth Proportional to 9,803.12, 14,706.84 and 3,231.36

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Solution

The fourth proportional to 9,803.12, 14,706.84 and 3,231.36 is: 4,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.12 : 14,706.84 = 3,231.36 : x
  2. Step 2: Convert to fraction form
    9,803.12/14,706.84 = 3,231.36/x
  3. Step 3: Cross multiply
    9,803.12x = 14,706.84 × 3,231.36
  4. Step 4: Simplify right side
    9,803.12x = 47,523,094.50
  5. Step 5: Solve for x
    x = 47,523,094.50/9,803.12
  6. Step 6: Final answer
    x = 4,847.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.