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Finding the Fourth Proportional to 9,266.42, 12,774.75 and 7,844.46

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Solution

The fourth proportional to 9,266.42, 12,774.75 and 7,844.46 is: 10,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.42 : 12,774.75 = 7,844.46 : x
  2. Step 2: Convert to fraction form
    9,266.42/12,774.75 = 7,844.46/x
  3. Step 3: Cross multiply
    9,266.42x = 12,774.75 × 7,844.46
  4. Step 4: Simplify right side
    9,266.42x = 100,211,015.39
  5. Step 5: Solve for x
    x = 100,211,015.39/9,266.42
  6. Step 6: Final answer
    x = 10,814.43

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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.