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Finding the Fourth Proportional to 6,917.88, 9,546.60 and 3,774

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Solution

The fourth proportional to 6,917.88, 9,546.60 and 3,774 is: 5,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.88 : 9,546.60 = 3,774 : x
  2. Step 2: Convert to fraction form
    6,917.88/9,546.60 = 3,774/x
  3. Step 3: Cross multiply
    6,917.88x = 9,546.60 × 3,774
  4. Step 4: Simplify right side
    6,917.88x = 36,028,868.40
  5. Step 5: Solve for x
    x = 36,028,868.40/6,917.88
  6. Step 6: Final answer
    x = 5,208.08

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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.