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Finding the Fourth Proportional to 6,647.34, 9,172.67 and 3,663.07

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Solution

The fourth proportional to 6,647.34, 9,172.67 and 3,663.07 is: 5,054.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.34 : 9,172.67 = 3,663.07 : x
  2. Step 2: Convert to fraction form
    6,647.34/9,172.67 = 3,663.07/x
  3. Step 3: Cross multiply
    6,647.34x = 9,172.67 × 3,663.07
  4. Step 4: Simplify right side
    6,647.34x = 33,600,132.30
  5. Step 5: Solve for x
    x = 33,600,132.30/6,647.34
  6. Step 6: Final answer
    x = 5,054.67

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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.