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Finding the Fourth Proportional to 9,775.19, 13,471.67 and 6,942.69

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Solution

The fourth proportional to 9,775.19, 13,471.67 and 6,942.69 is: 9,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.19 : 13,471.67 = 6,942.69 : x
  2. Step 2: Convert to fraction form
    9,775.19/13,471.67 = 6,942.69/x
  3. Step 3: Cross multiply
    9,775.19x = 13,471.67 × 6,942.69
  4. Step 4: Simplify right side
    9,775.19x = 93,529,628.59
  5. Step 5: Solve for x
    x = 93,529,628.59/9,775.19
  6. Step 6: Final answer
    x = 9,568.06

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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.