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Finding the Fourth Proportional to 6,905.26, 9,534.88 and 5,629.34

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Solution

The fourth proportional to 6,905.26, 9,534.88 and 5,629.34 is: 7,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.26 : 9,534.88 = 5,629.34 : x
  2. Step 2: Convert to fraction form
    6,905.26/9,534.88 = 5,629.34/x
  3. Step 3: Cross multiply
    6,905.26x = 9,534.88 × 5,629.34
  4. Step 4: Simplify right side
    6,905.26x = 53,675,081.38
  5. Step 5: Solve for x
    x = 53,675,081.38/6,905.26
  6. Step 6: Final answer
    x = 7,773.07

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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.