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Finding the Fourth Proportional to 6,326.40, 9,496.80 and 3,730.80

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Solution

The fourth proportional to 6,326.40, 9,496.80 and 3,730.80 is: 5,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.40 : 9,496.80 = 3,730.80 : x
  2. Step 2: Convert to fraction form
    6,326.40/9,496.80 = 3,730.80/x
  3. Step 3: Cross multiply
    6,326.40x = 9,496.80 × 3,730.80
  4. Step 4: Simplify right side
    6,326.40x = 35,430,661.44
  5. Step 5: Solve for x
    x = 35,430,661.44/6,326.40
  6. Step 6: Final answer
    x = 5,600.45

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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.