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Finding the Fourth Proportional to 9,651.78, 13,320.09 and 5,403.24

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Solution

The fourth proportional to 9,651.78, 13,320.09 and 5,403.24 is: 7,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.78 : 13,320.09 = 5,403.24 : x
  2. Step 2: Convert to fraction form
    9,651.78/13,320.09 = 5,403.24/x
  3. Step 3: Cross multiply
    9,651.78x = 13,320.09 × 5,403.24
  4. Step 4: Simplify right side
    9,651.78x = 71,971,643.09
  5. Step 5: Solve for x
    x = 71,971,643.09/9,651.78
  6. Step 6: Final answer
    x = 7,456.83

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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.