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Finding the Fourth Proportional to 9,427.08, 13,007.78 and 5,234.60

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Solution

The fourth proportional to 9,427.08, 13,007.78 and 5,234.60 is: 7,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.08 : 13,007.78 = 5,234.60 : x
  2. Step 2: Convert to fraction form
    9,427.08/13,007.78 = 5,234.60/x
  3. Step 3: Cross multiply
    9,427.08x = 13,007.78 × 5,234.60
  4. Step 4: Simplify right side
    9,427.08x = 68,090,525.19
  5. Step 5: Solve for x
    x = 68,090,525.19/9,427.08
  6. Step 6: Final answer
    x = 7,222.86

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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.