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Finding the Fourth Proportional to 6,764.53, 9,342.38 and 4,645.64

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Solution

The fourth proportional to 6,764.53, 9,342.38 and 4,645.64 is: 6,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.53 : 9,342.38 = 4,645.64 : x
  2. Step 2: Convert to fraction form
    6,764.53/9,342.38 = 4,645.64/x
  3. Step 3: Cross multiply
    6,764.53x = 9,342.38 × 4,645.64
  4. Step 4: Simplify right side
    6,764.53x = 43,401,334.22
  5. Step 5: Solve for x
    x = 43,401,334.22/6,764.53
  6. Step 6: Final answer
    x = 6,416.02

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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.