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Finding the Fourth Proportional to 6,484.40, 9,735.60 and 4,158.80

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Solution

The fourth proportional to 6,484.40, 9,735.60 and 4,158.80 is: 6,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.40 : 9,735.60 = 4,158.80 : x
  2. Step 2: Convert to fraction form
    6,484.40/9,735.60 = 4,158.80/x
  3. Step 3: Cross multiply
    6,484.40x = 9,735.60 × 4,158.80
  4. Step 4: Simplify right side
    6,484.40x = 40,488,413.28
  5. Step 5: Solve for x
    x = 40,488,413.28/6,484.40
  6. Step 6: Final answer
    x = 6,243.97

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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.