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Finding the Fourth Proportional to 9,556.93, 13,186.42 and 5,364.91

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Solution

The fourth proportional to 9,556.93, 13,186.42 and 5,364.91 is: 7,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.93 : 13,186.42 = 5,364.91 : x
  2. Step 2: Convert to fraction form
    9,556.93/13,186.42 = 5,364.91/x
  3. Step 3: Cross multiply
    9,556.93x = 13,186.42 × 5,364.91
  4. Step 4: Simplify right side
    9,556.93x = 70,743,956.52
  5. Step 5: Solve for x
    x = 70,743,956.52/9,556.93
  6. Step 6: Final answer
    x = 7,402.37

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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.