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Finding the Fourth Proportional to 6,650.42, 9,178.02 and 3,666.25

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Solution

The fourth proportional to 6,650.42, 9,178.02 and 3,666.25 is: 5,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.42 : 9,178.02 = 3,666.25 : x
  2. Step 2: Convert to fraction form
    6,650.42/9,178.02 = 3,666.25/x
  3. Step 3: Cross multiply
    6,650.42x = 9,178.02 × 3,666.25
  4. Step 4: Simplify right side
    6,650.42x = 33,648,927.30
  5. Step 5: Solve for x
    x = 33,648,927.30/6,650.42
  6. Step 6: Final answer
    x = 5,059.67

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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.