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Finding the Fourth Proportional to 6,910.37, 9,541.94 and 5,634.46

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Solution

The fourth proportional to 6,910.37, 9,541.94 and 5,634.46 is: 7,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.37 : 9,541.94 = 5,634.46 : x
  2. Step 2: Convert to fraction form
    6,910.37/9,541.94 = 5,634.46/x
  3. Step 3: Cross multiply
    6,910.37x = 9,541.94 × 5,634.46
  4. Step 4: Simplify right side
    6,910.37x = 53,763,679.25
  5. Step 5: Solve for x
    x = 53,763,679.25/6,910.37
  6. Step 6: Final answer
    x = 7,780.14

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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.