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Finding the Fourth Proportional to 9,556.81, 13,187.94 and 5,308.14

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Solution

The fourth proportional to 9,556.81, 13,187.94 and 5,308.14 is: 7,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.81 : 13,187.94 = 5,308.14 : x
  2. Step 2: Convert to fraction form
    9,556.81/13,187.94 = 5,308.14/x
  3. Step 3: Cross multiply
    9,556.81x = 13,187.94 × 5,308.14
  4. Step 4: Simplify right side
    9,556.81x = 70,003,431.83
  5. Step 5: Solve for x
    x = 70,003,431.83/9,556.81
  6. Step 6: Final answer
    x = 7,324.98

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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.