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Finding the Fourth Proportional to 8,457.60, 12,700.80 and 6,268.80

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Solution

The fourth proportional to 8,457.60, 12,700.80 and 6,268.80 is: 9,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.60 : 12,700.80 = 6,268.80 : x
  2. Step 2: Convert to fraction form
    8,457.60/12,700.80 = 6,268.80/x
  3. Step 3: Cross multiply
    8,457.60x = 12,700.80 × 6,268.80
  4. Step 4: Simplify right side
    8,457.60x = 79,618,775.04
  5. Step 5: Solve for x
    x = 79,618,775.04/8,457.60
  6. Step 6: Final answer
    x = 9,413.87

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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.