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Finding the Fourth Proportional to 9,984.43, 13,783.80 and 7,741.27

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Solution

The fourth proportional to 9,984.43, 13,783.80 and 7,741.27 is: 10,687.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.43 : 13,783.80 = 7,741.27 : x
  2. Step 2: Convert to fraction form
    9,984.43/13,783.80 = 7,741.27/x
  3. Step 3: Cross multiply
    9,984.43x = 13,783.80 × 7,741.27
  4. Step 4: Simplify right side
    9,984.43x = 106,704,117.43
  5. Step 5: Solve for x
    x = 106,704,117.43/9,984.43
  6. Step 6: Final answer
    x = 10,687.05

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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.