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Finding the Fourth Proportional to 9,556.82, 13,188.24 and 5,307.89

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Solution

The fourth proportional to 9,556.82, 13,188.24 and 5,307.89 is: 7,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.82 : 13,188.24 = 5,307.89 : x
  2. Step 2: Convert to fraction form
    9,556.82/13,188.24 = 5,307.89/x
  3. Step 3: Cross multiply
    9,556.82x = 13,188.24 × 5,307.89
  4. Step 4: Simplify right side
    9,556.82x = 70,001,727.21
  5. Step 5: Solve for x
    x = 70,001,727.21/9,556.82
  6. Step 6: Final answer
    x = 7,324.79

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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.