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Finding the Fourth Proportional to 9,273.16, 13,827.02 and 8,242.84

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Solution

The fourth proportional to 9,273.16, 13,827.02 and 8,242.84 is: 12,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.16 : 13,827.02 = 8,242.84 : x
  2. Step 2: Convert to fraction form
    9,273.16/13,827.02 = 8,242.84/x
  3. Step 3: Cross multiply
    9,273.16x = 13,827.02 × 8,242.84
  4. Step 4: Simplify right side
    9,273.16x = 113,973,913.54
  5. Step 5: Solve for x
    x = 113,973,913.54/9,273.16
  6. Step 6: Final answer
    x = 12,290.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.