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Finding the Fourth Proportional to 6,917.58, 9,546.60 and 4,085.22

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Solution

The fourth proportional to 6,917.58, 9,546.60 and 4,085.22 is: 5,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.58 : 9,546.60 = 4,085.22 : x
  2. Step 2: Convert to fraction form
    6,917.58/9,546.60 = 4,085.22/x
  3. Step 3: Cross multiply
    6,917.58x = 9,546.60 × 4,085.22
  4. Step 4: Simplify right side
    6,917.58x = 38,999,961.25
  5. Step 5: Solve for x
    x = 38,999,961.25/6,917.58
  6. Step 6: Final answer
    x = 5,637.80

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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.