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Finding the Fourth Proportional to 6,186.54, 9,280.84 and 3,066.68

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Solution

The fourth proportional to 6,186.54, 9,280.84 and 3,066.68 is: 4,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.54 : 9,280.84 = 3,066.68 : x
  2. Step 2: Convert to fraction form
    6,186.54/9,280.84 = 3,066.68/x
  3. Step 3: Cross multiply
    6,186.54x = 9,280.84 × 3,066.68
  4. Step 4: Simplify right side
    6,186.54x = 28,461,366.41
  5. Step 5: Solve for x
    x = 28,461,366.41/6,186.54
  6. Step 6: Final answer
    x = 4,600.53

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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.