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Finding the Fourth Proportional to 9,259.14, 12,777.94 and 5,280.14

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Solution

The fourth proportional to 9,259.14, 12,777.94 and 5,280.14 is: 7,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.14 : 12,777.94 = 5,280.14 : x
  2. Step 2: Convert to fraction form
    9,259.14/12,777.94 = 5,280.14/x
  3. Step 3: Cross multiply
    9,259.14x = 12,777.94 × 5,280.14
  4. Step 4: Simplify right side
    9,259.14x = 67,469,312.11
  5. Step 5: Solve for x
    x = 67,469,312.11/9,259.14
  6. Step 6: Final answer
    x = 7,286.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.