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Finding the Fourth Proportional to 9,556.34, 13,197.75 and 6,579.86

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Solution

The fourth proportional to 9,556.34, 13,197.75 and 6,579.86 is: 9,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.34 : 13,197.75 = 6,579.86 : x
  2. Step 2: Convert to fraction form
    9,556.34/13,197.75 = 6,579.86/x
  3. Step 3: Cross multiply
    9,556.34x = 13,197.75 × 6,579.86
  4. Step 4: Simplify right side
    9,556.34x = 86,839,347.32
  5. Step 5: Solve for x
    x = 86,839,347.32/9,556.34
  6. Step 6: Final answer
    x = 9,087.09

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