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Finding the Fourth Proportional to 6,431.32, 9,650.22 and 2,971

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Solution

The fourth proportional to 6,431.32, 9,650.22 and 2,971 is: 4,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.32 : 9,650.22 = 2,971 : x
  2. Step 2: Convert to fraction form
    6,431.32/9,650.22 = 2,971/x
  3. Step 3: Cross multiply
    6,431.32x = 9,650.22 × 2,971
  4. Step 4: Simplify right side
    6,431.32x = 28,670,803.62
  5. Step 5: Solve for x
    x = 28,670,803.62/6,431.32
  6. Step 6: Final answer
    x = 4,458.00

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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.