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Finding the Fourth Proportional to 9,858.24, 14,790.24 and 3,620.16

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Solution

The fourth proportional to 9,858.24, 14,790.24 and 3,620.16 is: 5,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.24 : 14,790.24 = 3,620.16 : x
  2. Step 2: Convert to fraction form
    9,858.24/14,790.24 = 3,620.16/x
  3. Step 3: Cross multiply
    9,858.24x = 14,790.24 × 3,620.16
  4. Step 4: Simplify right side
    9,858.24x = 53,543,035.24
  5. Step 5: Solve for x
    x = 53,543,035.24/9,858.24
  6. Step 6: Final answer
    x = 5,431.30

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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.