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Finding the Fourth Proportional to 9,640.94, 13,304.40 and 6,107.05

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Solution

The fourth proportional to 9,640.94, 13,304.40 and 6,107.05 is: 8,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.94 : 13,304.40 = 6,107.05 : x
  2. Step 2: Convert to fraction form
    9,640.94/13,304.40 = 6,107.05/x
  3. Step 3: Cross multiply
    9,640.94x = 13,304.40 × 6,107.05
  4. Step 4: Simplify right side
    9,640.94x = 81,250,636.02
  5. Step 5: Solve for x
    x = 81,250,636.02/9,640.94
  6. Step 6: Final answer
    x = 8,427.67

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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.