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Finding the Fourth Proportional to 9,464.80, 13,224.80 and 9,464.80

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Solution

The fourth proportional to 9,464.80, 13,224.80 and 9,464.80 is: 13,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.80 : 13,224.80 = 9,464.80 : x
  2. Step 2: Convert to fraction form
    9,464.80/13,224.80 = 9,464.80/x
  3. Step 3: Cross multiply
    9,464.80x = 13,224.80 × 9,464.80
  4. Step 4: Simplify right side
    9,464.80x = 125,170,087.04
  5. Step 5: Solve for x
    x = 125,170,087.04/9,464.80
  6. Step 6: Final answer
    x = 13,224.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.