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Finding the Fourth Proportional to 9,208.86, 13,820.28 and 6,750.09

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Solution

The fourth proportional to 9,208.86, 13,820.28 and 6,750.09 is: 10,130.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.86 : 13,820.28 = 6,750.09 : x
  2. Step 2: Convert to fraction form
    9,208.86/13,820.28 = 6,750.09/x
  3. Step 3: Cross multiply
    9,208.86x = 13,820.28 × 6,750.09
  4. Step 4: Simplify right side
    9,208.86x = 93,288,133.83
  5. Step 5: Solve for x
    x = 93,288,133.83/9,208.86
  6. Step 6: Final answer
    x = 10,130.26

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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.