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Finding the Fourth Proportional to 6,187.86, 9,280.71 and 3,066.84

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Solution

The fourth proportional to 6,187.86, 9,280.71 and 3,066.84 is: 4,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.86 : 9,280.71 = 3,066.84 : x
  2. Step 2: Convert to fraction form
    6,187.86/9,280.71 = 3,066.84/x
  3. Step 3: Cross multiply
    6,187.86x = 9,280.71 × 3,066.84
  4. Step 4: Simplify right side
    6,187.86x = 28,462,452.66
  5. Step 5: Solve for x
    x = 28,462,452.66/6,187.86
  6. Step 6: Final answer
    x = 4,599.72

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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.