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Finding the Fourth Proportional to 9,556.98, 13,189.95 and 5,365.50

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Solution

The fourth proportional to 9,556.98, 13,189.95 and 5,365.50 is: 7,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.98 : 13,189.95 = 5,365.50 : x
  2. Step 2: Convert to fraction form
    9,556.98/13,189.95 = 5,365.50/x
  3. Step 3: Cross multiply
    9,556.98x = 13,189.95 × 5,365.50
  4. Step 4: Simplify right side
    9,556.98x = 70,770,676.73
  5. Step 5: Solve for x
    x = 70,770,676.73/9,556.98
  6. Step 6: Final answer
    x = 7,405.13

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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.