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Finding the Fourth Proportional to 9,968.19, 13,749.03 and 6,561.09

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Solution

The fourth proportional to 9,968.19, 13,749.03 and 6,561.09 is: 9,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.19 : 13,749.03 = 6,561.09 : x
  2. Step 2: Convert to fraction form
    9,968.19/13,749.03 = 6,561.09/x
  3. Step 3: Cross multiply
    9,968.19x = 13,749.03 × 6,561.09
  4. Step 4: Simplify right side
    9,968.19x = 90,208,623.24
  5. Step 5: Solve for x
    x = 90,208,623.24/9,968.19
  6. Step 6: Final answer
    x = 9,049.65

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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.