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Finding the Fourth Proportional to 6,650.46, 9,177.70 and 3,666.40

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Solution

The fourth proportional to 6,650.46, 9,177.70 and 3,666.40 is: 5,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.46 : 9,177.70 = 3,666.40 : x
  2. Step 2: Convert to fraction form
    6,650.46/9,177.70 = 3,666.40/x
  3. Step 3: Cross multiply
    6,650.46x = 9,177.70 × 3,666.40
  4. Step 4: Simplify right side
    6,650.46x = 33,649,145.67
  5. Step 5: Solve for x
    x = 33,649,145.67/6,650.46
  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.