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Finding the Fourth Proportional to 6,328.64, 8,733.60 and 3,496.00

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Solution

The fourth proportional to 6,328.64, 8,733.60 and 3,496.00 is: 4,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.64 : 8,733.60 = 3,496.00 : x
  2. Step 2: Convert to fraction form
    6,328.64/8,733.60 = 3,496.00/x
  3. Step 3: Cross multiply
    6,328.64x = 8,733.60 × 3,496.00
  4. Step 4: Simplify right side
    6,328.64x = 30,532,660.14
  5. Step 5: Solve for x
    x = 30,532,660.14/6,328.64
  6. Step 6: Final answer
    x = 4,824.52

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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.