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Finding the Fourth Proportional to 6,457.06, 9,685.54 and 4,275.55

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Solution

The fourth proportional to 6,457.06, 9,685.54 and 4,275.55 is: 6,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.06 : 9,685.54 = 4,275.55 : x
  2. Step 2: Convert to fraction form
    6,457.06/9,685.54 = 4,275.55/x
  3. Step 3: Cross multiply
    6,457.06x = 9,685.54 × 4,275.55
  4. Step 4: Simplify right side
    6,457.06x = 41,410,986.33
  5. Step 5: Solve for x
    x = 41,410,986.33/6,457.06
  6. Step 6: Final answer
    x = 6,413.29

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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.