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Finding the Fourth Proportional to 9,633.57, 13,292.76 and 5,383.91

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Solution

The fourth proportional to 9,633.57, 13,292.76 and 5,383.91 is: 7,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.57 : 13,292.76 = 5,383.91 : x
  2. Step 2: Convert to fraction form
    9,633.57/13,292.76 = 5,383.91/x
  3. Step 3: Cross multiply
    9,633.57x = 13,292.76 × 5,383.91
  4. Step 4: Simplify right side
    9,633.57x = 71,567,023.49
  5. Step 5: Solve for x
    x = 71,567,023.49/9,633.57
  6. Step 6: Final answer
    x = 7,428.92

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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.