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Finding the Fourth Proportional to 9,884.48, 13,640.58 and 6,347.67

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Solution

The fourth proportional to 9,884.48, 13,640.58 and 6,347.67 is: 8,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.48 : 13,640.58 = 6,347.67 : x
  2. Step 2: Convert to fraction form
    9,884.48/13,640.58 = 6,347.67/x
  3. Step 3: Cross multiply
    9,884.48x = 13,640.58 × 6,347.67
  4. Step 4: Simplify right side
    9,884.48x = 86,585,900.45
  5. Step 5: Solve for x
    x = 86,585,900.45/9,884.48
  6. Step 6: Final answer
    x = 8,759.79

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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.