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Finding the Fourth Proportional to 6,182.68, 9,277.66 and 2,289.80

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Solution

The fourth proportional to 6,182.68, 9,277.66 and 2,289.80 is: 3,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.68 : 9,277.66 = 2,289.80 : x
  2. Step 2: Convert to fraction form
    6,182.68/9,277.66 = 2,289.80/x
  3. Step 3: Cross multiply
    6,182.68x = 9,277.66 × 2,289.80
  4. Step 4: Simplify right side
    6,182.68x = 21,243,985.87
  5. Step 5: Solve for x
    x = 21,243,985.87/6,182.68
  6. Step 6: Final answer
    x = 3,436.05

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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.