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Finding the Fourth Proportional to 9,633.23, 13,293.94 and 5,441.48

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Solution

The fourth proportional to 9,633.23, 13,293.94 and 5,441.48 is: 7,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.23 : 13,293.94 = 5,441.48 : x
  2. Step 2: Convert to fraction form
    9,633.23/13,293.94 = 5,441.48/x
  3. Step 3: Cross multiply
    9,633.23x = 13,293.94 × 5,441.48
  4. Step 4: Simplify right side
    9,633.23x = 72,338,728.26
  5. Step 5: Solve for x
    x = 72,338,728.26/9,633.23
  6. Step 6: Final answer
    x = 7,509.29

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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.