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Finding the Fourth Proportional to 9,633.41, 13,292.76 and 5,383.93

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Solution

The fourth proportional to 9,633.41, 13,292.76 and 5,383.93 is: 7,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.41 : 13,292.76 = 5,383.93 : x
  2. Step 2: Convert to fraction form
    9,633.41/13,292.76 = 5,383.93/x
  3. Step 3: Cross multiply
    9,633.41x = 13,292.76 × 5,383.93
  4. Step 4: Simplify right side
    9,633.41x = 71,567,289.35
  5. Step 5: Solve for x
    x = 71,567,289.35/9,633.41
  6. Step 6: Final answer
    x = 7,429.07

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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.