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Finding the Fourth Proportional to 9,556.79, 13,189.43 and 5,578.88

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Solution

The fourth proportional to 9,556.79, 13,189.43 and 5,578.88 is: 7,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.79 : 13,189.43 = 5,578.88 : x
  2. Step 2: Convert to fraction form
    9,556.79/13,189.43 = 5,578.88/x
  3. Step 3: Cross multiply
    9,556.79x = 13,189.43 × 5,578.88
  4. Step 4: Simplify right side
    9,556.79x = 73,582,195.24
  5. Step 5: Solve for x
    x = 73,582,195.24/9,556.79
  6. Step 6: Final answer
    x = 7,699.47

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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.