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Finding the Fourth Proportional to 6,397.60, 9,606.82 and 3,947.98

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Solution

The fourth proportional to 6,397.60, 9,606.82 and 3,947.98 is: 5,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.60 : 9,606.82 = 3,947.98 : x
  2. Step 2: Convert to fraction form
    6,397.60/9,606.82 = 3,947.98/x
  3. Step 3: Cross multiply
    6,397.60x = 9,606.82 × 3,947.98
  4. Step 4: Simplify right side
    6,397.60x = 37,927,533.22
  5. Step 5: Solve for x
    x = 37,927,533.22/6,397.60
  6. Step 6: Final answer
    x = 5,928.40

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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.