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Finding the Fourth Proportional to 6,322.64, 8,725.36 and 3,671.52

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Solution

The fourth proportional to 6,322.64, 8,725.36 and 3,671.52 is: 5,066.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.64 : 8,725.36 = 3,671.52 : x
  2. Step 2: Convert to fraction form
    6,322.64/8,725.36 = 3,671.52/x
  3. Step 3: Cross multiply
    6,322.64x = 8,725.36 × 3,671.52
  4. Step 4: Simplify right side
    6,322.64x = 32,035,333.75
  5. Step 5: Solve for x
    x = 32,035,333.75/6,322.64
  6. Step 6: Final answer
    x = 5,066.77

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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.