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Finding the Fourth Proportional to 6,471.64, 8,931.06 and 3,821.32

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Solution

The fourth proportional to 6,471.64, 8,931.06 and 3,821.32 is: 5,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.64 : 8,931.06 = 3,821.32 : x
  2. Step 2: Convert to fraction form
    6,471.64/8,931.06 = 3,821.32/x
  3. Step 3: Cross multiply
    6,471.64x = 8,931.06 × 3,821.32
  4. Step 4: Simplify right side
    6,471.64x = 34,128,438.20
  5. Step 5: Solve for x
    x = 34,128,438.20/6,471.64
  6. Step 6: Final answer
    x = 5,273.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.