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Finding the Fourth Proportional to 9,803.25, 14,706.50 and 2,879.37

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Solution

The fourth proportional to 9,803.25, 14,706.50 and 2,879.37 is: 4,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.25 : 14,706.50 = 2,879.37 : x
  2. Step 2: Convert to fraction form
    9,803.25/14,706.50 = 2,879.37/x
  3. Step 3: Cross multiply
    9,803.25x = 14,706.50 × 2,879.37
  4. Step 4: Simplify right side
    9,803.25x = 42,345,440.51
  5. Step 5: Solve for x
    x = 42,345,440.51/9,803.25
  6. Step 6: Final answer
    x = 4,319.53

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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.