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Finding the Fourth Proportional to 6,317.68, 9,475.52 and 2,157.68

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Solution

The fourth proportional to 6,317.68, 9,475.52 and 2,157.68 is: 3,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.68 : 9,475.52 = 2,157.68 : x
  2. Step 2: Convert to fraction form
    6,317.68/9,475.52 = 2,157.68/x
  3. Step 3: Cross multiply
    6,317.68x = 9,475.52 × 2,157.68
  4. Step 4: Simplify right side
    6,317.68x = 20,445,139.99
  5. Step 5: Solve for x
    x = 20,445,139.99/6,317.68
  6. Step 6: Final answer
    x = 3,236.18

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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.