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Finding the Fourth Proportional to 9,798.39, 14,699.79 and 3,224.34

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Solution

The fourth proportional to 9,798.39, 14,699.79 and 3,224.34 is: 4,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.39 : 14,699.79 = 3,224.34 : x
  2. Step 2: Convert to fraction form
    9,798.39/14,699.79 = 3,224.34/x
  3. Step 3: Cross multiply
    9,798.39x = 14,699.79 × 3,224.34
  4. Step 4: Simplify right side
    9,798.39x = 47,397,120.89
  5. Step 5: Solve for x
    x = 47,397,120.89/9,798.39
  6. Step 6: Final answer
    x = 4,837.24

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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.