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Finding the Fourth Proportional to 9,822.62, 13,556.16 and 6,047.99

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Solution

The fourth proportional to 9,822.62, 13,556.16 and 6,047.99 is: 8,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.62 : 13,556.16 = 6,047.99 : x
  2. Step 2: Convert to fraction form
    9,822.62/13,556.16 = 6,047.99/x
  3. Step 3: Cross multiply
    9,822.62x = 13,556.16 × 6,047.99
  4. Step 4: Simplify right side
    9,822.62x = 81,987,541.30
  5. Step 5: Solve for x
    x = 81,987,541.30/9,822.62
  6. Step 6: Final answer
    x = 8,346.81

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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.