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Finding the Fourth Proportional to 9,452.80, 13,046.40 and 5,728.64

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Solution

The fourth proportional to 9,452.80, 13,046.40 and 5,728.64 is: 7,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.80 : 13,046.40 = 5,728.64 : x
  2. Step 2: Convert to fraction form
    9,452.80/13,046.40 = 5,728.64/x
  3. Step 3: Cross multiply
    9,452.80x = 13,046.40 × 5,728.64
  4. Step 4: Simplify right side
    9,452.80x = 74,738,128.90
  5. Step 5: Solve for x
    x = 74,738,128.90/9,452.80
  6. Step 6: Final answer
    x = 7,906.45

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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.