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Finding the Fourth Proportional to 9,556.62, 13,187.76 and 5,307.86

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Solution

The fourth proportional to 9,556.62, 13,187.76 and 5,307.86 is: 7,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.62 : 13,187.76 = 5,307.86 : x
  2. Step 2: Convert to fraction form
    9,556.62/13,187.76 = 5,307.86/x
  3. Step 3: Cross multiply
    9,556.62x = 13,187.76 × 5,307.86
  4. Step 4: Simplify right side
    9,556.62x = 69,998,783.79
  5. Step 5: Solve for x
    x = 69,998,783.79/9,556.62
  6. Step 6: Final answer
    x = 7,324.64

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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.