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Finding the Fourth Proportional to 9,556.74, 14,335.76 and 2,536.67

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Solution

The fourth proportional to 9,556.74, 14,335.76 and 2,536.67 is: 3,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.74 : 14,335.76 = 2,536.67 : x
  2. Step 2: Convert to fraction form
    9,556.74/14,335.76 = 2,536.67/x
  3. Step 3: Cross multiply
    9,556.74x = 14,335.76 × 2,536.67
  4. Step 4: Simplify right side
    9,556.74x = 36,365,007.96
  5. Step 5: Solve for x
    x = 36,365,007.96/9,556.74
  6. Step 6: Final answer
    x = 3,805.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.