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Finding the Fourth Proportional to 9,983.34, 13,773.99 and 5,790.78

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Solution

The fourth proportional to 9,983.34, 13,773.99 and 5,790.78 is: 7,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.34 : 13,773.99 = 5,790.78 : x
  2. Step 2: Convert to fraction form
    9,983.34/13,773.99 = 5,790.78/x
  3. Step 3: Cross multiply
    9,983.34x = 13,773.99 × 5,790.78
  4. Step 4: Simplify right side
    9,983.34x = 79,762,145.81
  5. Step 5: Solve for x
    x = 79,762,145.81/9,983.34
  6. Step 6: Final answer
    x = 7,989.53

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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.