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Finding the Fourth Proportional to 6,697.12, 9,245.20 and 4,462.72

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Solution

The fourth proportional to 6,697.12, 9,245.20 and 4,462.72 is: 6,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.12 : 9,245.20 = 4,462.72 : x
  2. Step 2: Convert to fraction form
    6,697.12/9,245.20 = 4,462.72/x
  3. Step 3: Cross multiply
    6,697.12x = 9,245.20 × 4,462.72
  4. Step 4: Simplify right side
    6,697.12x = 41,258,738.94
  5. Step 5: Solve for x
    x = 41,258,738.94/6,697.12
  6. Step 6: Final answer
    x = 6,160.67

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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.