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Finding the Fourth Proportional to 6,556.44, 9,026.99 and 6,109.32

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Solution

The fourth proportional to 6,556.44, 9,026.99 and 6,109.32 is: 8,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.44 : 9,026.99 = 6,109.32 : x
  2. Step 2: Convert to fraction form
    6,556.44/9,026.99 = 6,109.32/x
  3. Step 3: Cross multiply
    6,556.44x = 9,026.99 × 6,109.32
  4. Step 4: Simplify right side
    6,556.44x = 55,148,831.13
  5. Step 5: Solve for x
    x = 55,148,831.13/6,556.44
  6. Step 6: Final answer
    x = 8,411.39

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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.