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Finding the Fourth Proportional to 6,992.09, 9,649.40 and 4,340.36

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Solution

The fourth proportional to 6,992.09, 9,649.40 and 4,340.36 is: 5,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.09 : 9,649.40 = 4,340.36 : x
  2. Step 2: Convert to fraction form
    6,992.09/9,649.40 = 4,340.36/x
  3. Step 3: Cross multiply
    6,992.09x = 9,649.40 × 4,340.36
  4. Step 4: Simplify right side
    6,992.09x = 41,881,799.84
  5. Step 5: Solve for x
    x = 41,881,799.84/6,992.09
  6. Step 6: Final answer
    x = 5,989.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.