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Finding the Fourth Proportional to 9,556.62, 14,339.16 and 3,713.67

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Solution

The fourth proportional to 9,556.62, 14,339.16 and 3,713.67 is: 5,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.62 : 14,339.16 = 3,713.67 : x
  2. Step 2: Convert to fraction form
    9,556.62/14,339.16 = 3,713.67/x
  3. Step 3: Cross multiply
    9,556.62x = 14,339.16 × 3,713.67
  4. Step 4: Simplify right side
    9,556.62x = 53,250,908.32
  5. Step 5: Solve for x
    x = 53,250,908.32/9,556.62
  6. Step 6: Final answer
    x = 5,572.15

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Why These Related Problems?

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