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Finding the Fourth Proportional to 9,883.96, 14,825.94 and 2,864.37

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Solution

The fourth proportional to 9,883.96, 14,825.94 and 2,864.37 is: 4,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.96 : 14,825.94 = 2,864.37 : x
  2. Step 2: Convert to fraction form
    9,883.96/14,825.94 = 2,864.37/x
  3. Step 3: Cross multiply
    9,883.96x = 14,825.94 × 2,864.37
  4. Step 4: Simplify right side
    9,883.96x = 42,466,977.76
  5. Step 5: Solve for x
    x = 42,466,977.76/9,883.96
  6. Step 6: Final answer
    x = 4,296.56

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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.