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Finding the Fourth Proportional to 6,750.34, 9,315.06 and 3,766.03

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Solution

The fourth proportional to 6,750.34, 9,315.06 and 3,766.03 is: 5,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.34 : 9,315.06 = 3,766.03 : x
  2. Step 2: Convert to fraction form
    6,750.34/9,315.06 = 3,766.03/x
  3. Step 3: Cross multiply
    6,750.34x = 9,315.06 × 3,766.03
  4. Step 4: Simplify right side
    6,750.34x = 35,080,795.41
  5. Step 5: Solve for x
    x = 35,080,795.41/6,750.34
  6. Step 6: Final answer
    x = 5,196.89

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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.