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Finding the Fourth Proportional to 9,968.06, 13,756.01 and 5,491.82

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Solution

The fourth proportional to 9,968.06, 13,756.01 and 5,491.82 is: 7,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.06 : 13,756.01 = 5,491.82 : x
  2. Step 2: Convert to fraction form
    9,968.06/13,756.01 = 5,491.82/x
  3. Step 3: Cross multiply
    9,968.06x = 13,756.01 × 5,491.82
  4. Step 4: Simplify right side
    9,968.06x = 75,545,530.84
  5. Step 5: Solve for x
    x = 75,545,530.84/9,968.06
  6. Step 6: Final answer
    x = 7,578.76

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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.