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Finding the Fourth Proportional to 9,609.60, 13,261.44 and 5,418.24

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Solution

The fourth proportional to 9,609.60, 13,261.44 and 5,418.24 is: 7,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.60 : 13,261.44 = 5,418.24 : x
  2. Step 2: Convert to fraction form
    9,609.60/13,261.44 = 5,418.24/x
  3. Step 3: Cross multiply
    9,609.60x = 13,261.44 × 5,418.24
  4. Step 4: Simplify right side
    9,609.60x = 71,853,664.67
  5. Step 5: Solve for x
    x = 71,853,664.67/9,609.60
  6. Step 6: Final answer
    x = 7,477.28

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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.