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Finding the Fourth Proportional to 6,427.64, 9,638.00 and 3,467.67

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Solution

The fourth proportional to 6,427.64, 9,638.00 and 3,467.67 is: 5,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.64 : 9,638.00 = 3,467.67 : x
  2. Step 2: Convert to fraction form
    6,427.64/9,638.00 = 3,467.67/x
  3. Step 3: Cross multiply
    6,427.64x = 9,638.00 × 3,467.67
  4. Step 4: Simplify right side
    6,427.64x = 33,421,386.12
  5. Step 5: Solve for x
    x = 33,421,386.12/6,427.64
  6. Step 6: Final answer
    x = 5,199.64

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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.