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Finding the Fourth Proportional to 6,707.49, 9,255.34 and 3,723.35

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Solution

The fourth proportional to 6,707.49, 9,255.34 and 3,723.35 is: 5,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.49 : 9,255.34 = 3,723.35 : x
  2. Step 2: Convert to fraction form
    6,707.49/9,255.34 = 3,723.35/x
  3. Step 3: Cross multiply
    6,707.49x = 9,255.34 × 3,723.35
  4. Step 4: Simplify right side
    6,707.49x = 34,460,828.57
  5. Step 5: Solve for x
    x = 34,460,828.57/6,707.49
  6. Step 6: Final answer
    x = 5,137.67

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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.