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Finding the Fourth Proportional to 6,094.34, 9,138.24 and 3,131.57

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Solution

The fourth proportional to 6,094.34, 9,138.24 and 3,131.57 is: 4,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.34 : 9,138.24 = 3,131.57 : x
  2. Step 2: Convert to fraction form
    6,094.34/9,138.24 = 3,131.57/x
  3. Step 3: Cross multiply
    6,094.34x = 9,138.24 × 3,131.57
  4. Step 4: Simplify right side
    6,094.34x = 28,616,992.55
  5. Step 5: Solve for x
    x = 28,616,992.55/6,094.34
  6. Step 6: Final answer
    x = 4,695.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.