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Finding the Fourth Proportional to 9,783.56, 13,502.22 and 5,591

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Solution

The fourth proportional to 9,783.56, 13,502.22 and 5,591 is: 7,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.56 : 13,502.22 = 5,591 : x
  2. Step 2: Convert to fraction form
    9,783.56/13,502.22 = 5,591/x
  3. Step 3: Cross multiply
    9,783.56x = 13,502.22 × 5,591
  4. Step 4: Simplify right side
    9,783.56x = 75,490,912.02
  5. Step 5: Solve for x
    x = 75,490,912.02/9,783.56
  6. Step 6: Final answer
    x = 7,716.10

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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.