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Finding the Fourth Proportional to 6,905.37, 9,535.03 and 5,629.45

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Solution

The fourth proportional to 6,905.37, 9,535.03 and 5,629.45 is: 7,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.37 : 9,535.03 = 5,629.45 : x
  2. Step 2: Convert to fraction form
    6,905.37/9,535.03 = 5,629.45/x
  3. Step 3: Cross multiply
    6,905.37x = 9,535.03 × 5,629.45
  4. Step 4: Simplify right side
    6,905.37x = 53,676,936.72
  5. Step 5: Solve for x
    x = 53,676,936.72/6,905.37
  6. Step 6: Final answer
    x = 7,773.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.