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Finding the Fourth Proportional to 9,727.85, 13,423.88 and 5,749.34

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Solution

The fourth proportional to 9,727.85, 13,423.88 and 5,749.34 is: 7,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.85 : 13,423.88 = 5,749.34 : x
  2. Step 2: Convert to fraction form
    9,727.85/13,423.88 = 5,749.34/x
  3. Step 3: Cross multiply
    9,727.85x = 13,423.88 × 5,749.34
  4. Step 4: Simplify right side
    9,727.85x = 77,178,383.12
  5. Step 5: Solve for x
    x = 77,178,383.12/9,727.85
  6. Step 6: Final answer
    x = 7,933.76

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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.