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Finding the Fourth Proportional to 9,967.71, 13,756.06 and 5,491.46

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Solution

The fourth proportional to 9,967.71, 13,756.06 and 5,491.46 is: 7,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.71 : 13,756.06 = 5,491.46 : x
  2. Step 2: Convert to fraction form
    9,967.71/13,756.06 = 5,491.46/x
  3. Step 3: Cross multiply
    9,967.71x = 13,756.06 × 5,491.46
  4. Step 4: Simplify right side
    9,967.71x = 75,540,901.37
  5. Step 5: Solve for x
    x = 75,540,901.37/9,967.71
  6. Step 6: Final answer
    x = 7,578.56

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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.