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Finding the Fourth Proportional to 6,230.16, 9,349.56 and 3,154.32

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Solution

The fourth proportional to 6,230.16, 9,349.56 and 3,154.32 is: 4,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.16 : 9,349.56 = 3,154.32 : x
  2. Step 2: Convert to fraction form
    6,230.16/9,349.56 = 3,154.32/x
  3. Step 3: Cross multiply
    6,230.16x = 9,349.56 × 3,154.32
  4. Step 4: Simplify right side
    6,230.16x = 29,491,504.10
  5. Step 5: Solve for x
    x = 29,491,504.10/6,230.16
  6. Step 6: Final answer
    x = 4,733.67

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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.