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Finding the Fourth Proportional to 9,239.98, 13,859 and 2,314.48

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Solution

The fourth proportional to 9,239.98, 13,859 and 2,314.48 is: 3,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.98 : 13,859 = 2,314.48 : x
  2. Step 2: Convert to fraction form
    9,239.98/13,859 = 2,314.48/x
  3. Step 3: Cross multiply
    9,239.98x = 13,859 × 2,314.48
  4. Step 4: Simplify right side
    9,239.98x = 32,076,378.32
  5. Step 5: Solve for x
    x = 32,076,378.32/9,239.98
  6. Step 6: Final answer
    x = 3,471.48

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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.