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Finding the Fourth Proportional to 6,453.16, 9,695.96 and 4,114.20

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Solution

The fourth proportional to 6,453.16, 9,695.96 and 4,114.20 is: 6,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.16 : 9,695.96 = 4,114.20 : x
  2. Step 2: Convert to fraction form
    6,453.16/9,695.96 = 4,114.20/x
  3. Step 3: Cross multiply
    6,453.16x = 9,695.96 × 4,114.20
  4. Step 4: Simplify right side
    6,453.16x = 39,891,118.63
  5. Step 5: Solve for x
    x = 39,891,118.63/6,453.16
  6. Step 6: Final answer
    x = 6,181.64

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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.