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Finding the Fourth Proportional to 9,556.28, 14,340.19 and 6,805.82

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Solution

The fourth proportional to 9,556.28, 14,340.19 and 6,805.82 is: 10,212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.28 : 14,340.19 = 6,805.82 : x
  2. Step 2: Convert to fraction form
    9,556.28/14,340.19 = 6,805.82/x
  3. Step 3: Cross multiply
    9,556.28x = 14,340.19 × 6,805.82
  4. Step 4: Simplify right side
    9,556.28x = 97,596,783.50
  5. Step 5: Solve for x
    x = 97,596,783.50/9,556.28
  6. Step 6: Final answer
    x = 10,212.84

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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.