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Finding the Fourth Proportional to 9,653.49, 13,321.15 and 5,403.80

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Solution

The fourth proportional to 9,653.49, 13,321.15 and 5,403.80 is: 7,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.49 : 13,321.15 = 5,403.80 : x
  2. Step 2: Convert to fraction form
    9,653.49/13,321.15 = 5,403.80/x
  3. Step 3: Cross multiply
    9,653.49x = 13,321.15 × 5,403.80
  4. Step 4: Simplify right side
    9,653.49x = 71,984,850.16
  5. Step 5: Solve for x
    x = 71,984,850.16/9,653.49
  6. Step 6: Final answer
    x = 7,456.87

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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.