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Finding the Fourth Proportional to 9,632.22, 13,292.29 and 5,383.35

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Solution

The fourth proportional to 9,632.22, 13,292.29 and 5,383.35 is: 7,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.22 : 13,292.29 = 5,383.35 : x
  2. Step 2: Convert to fraction form
    9,632.22/13,292.29 = 5,383.35/x
  3. Step 3: Cross multiply
    9,632.22x = 13,292.29 × 5,383.35
  4. Step 4: Simplify right side
    9,632.22x = 71,557,049.37
  5. Step 5: Solve for x
    x = 71,557,049.37/9,632.22
  6. Step 6: Final answer
    x = 7,428.93

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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.