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Finding the Fourth Proportional to 6,546.26, 9,035.01 and 4,188.32

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Solution

The fourth proportional to 6,546.26, 9,035.01 and 4,188.32 is: 5,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.26 : 9,035.01 = 4,188.32 : x
  2. Step 2: Convert to fraction form
    6,546.26/9,035.01 = 4,188.32/x
  3. Step 3: Cross multiply
    6,546.26x = 9,035.01 × 4,188.32
  4. Step 4: Simplify right side
    6,546.26x = 37,841,513.08
  5. Step 5: Solve for x
    x = 37,841,513.08/6,546.26
  6. Step 6: Final answer
    x = 5,780.63

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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.