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Finding the Fourth Proportional to 6,266.34, 9,399.51 and 1,883.69

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Solution

The fourth proportional to 6,266.34, 9,399.51 and 1,883.69 is: 2,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.34 : 9,399.51 = 1,883.69 : x
  2. Step 2: Convert to fraction form
    6,266.34/9,399.51 = 1,883.69/x
  3. Step 3: Cross multiply
    6,266.34x = 9,399.51 × 1,883.69
  4. Step 4: Simplify right side
    6,266.34x = 17,705,715.99
  5. Step 5: Solve for x
    x = 17,705,715.99/6,266.34
  6. Step 6: Final answer
    x = 2,825.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.