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Finding the Fourth Proportional to 7,178.19, 9,908.94 and 6,729.81

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Solution

The fourth proportional to 7,178.19, 9,908.94 and 6,729.81 is: 9,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.19 : 9,908.94 = 6,729.81 : x
  2. Step 2: Convert to fraction form
    7,178.19/9,908.94 = 6,729.81/x
  3. Step 3: Cross multiply
    7,178.19x = 9,908.94 × 6,729.81
  4. Step 4: Simplify right side
    7,178.19x = 66,685,283.50
  5. Step 5: Solve for x
    x = 66,685,283.50/7,178.19
  6. Step 6: Final answer
    x = 9,289.99

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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.