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Finding the Fourth Proportional to 6,914.17, 9,493.37 and 6,733.75

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Solution

The fourth proportional to 6,914.17, 9,493.37 and 6,733.75 is: 9,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.17 : 9,493.37 = 6,733.75 : x
  2. Step 2: Convert to fraction form
    6,914.17/9,493.37 = 6,733.75/x
  3. Step 3: Cross multiply
    6,914.17x = 9,493.37 × 6,733.75
  4. Step 4: Simplify right side
    6,914.17x = 63,925,980.24
  5. Step 5: Solve for x
    x = 63,925,980.24/6,914.17
  6. Step 6: Final answer
    x = 9,245.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.