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Finding the Fourth Proportional to 9,276.42, 12,801.42 and 5,084.67

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Solution

The fourth proportional to 9,276.42, 12,801.42 and 5,084.67 is: 7,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.42 : 12,801.42 = 5,084.67 : x
  2. Step 2: Convert to fraction form
    9,276.42/12,801.42 = 5,084.67/x
  3. Step 3: Cross multiply
    9,276.42x = 12,801.42 × 5,084.67
  4. Step 4: Simplify right side
    9,276.42x = 65,090,996.23
  5. Step 5: Solve for x
    x = 65,090,996.23/9,276.42
  6. Step 6: Final answer
    x = 7,016.82

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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.