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Finding the Fourth Proportional to 6,466.80, 9,681.30 and 4,830.60

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Solution

The fourth proportional to 6,466.80, 9,681.30 and 4,830.60 is: 7,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.80 : 9,681.30 = 4,830.60 : x
  2. Step 2: Convert to fraction form
    6,466.80/9,681.30 = 4,830.60/x
  3. Step 3: Cross multiply
    6,466.80x = 9,681.30 × 4,830.60
  4. Step 4: Simplify right side
    6,466.80x = 46,766,487.78
  5. Step 5: Solve for x
    x = 46,766,487.78/6,466.80
  6. Step 6: Final answer
    x = 7,231.78

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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.