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Finding the Fourth Proportional to 9,796.24, 13,518.06 and 5,546.92

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Solution

The fourth proportional to 9,796.24, 13,518.06 and 5,546.92 is: 7,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.24 : 13,518.06 = 5,546.92 : x
  2. Step 2: Convert to fraction form
    9,796.24/13,518.06 = 5,546.92/x
  3. Step 3: Cross multiply
    9,796.24x = 13,518.06 × 5,546.92
  4. Step 4: Simplify right side
    9,796.24x = 74,983,597.38
  5. Step 5: Solve for x
    x = 74,983,597.38/9,796.24
  6. Step 6: Final answer
    x = 7,654.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.