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Finding the Fourth Proportional to 6,546.76, 9,035.70 and 4,188.82

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Solution

The fourth proportional to 6,546.76, 9,035.70 and 4,188.82 is: 5,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.76 : 9,035.70 = 4,188.82 : x
  2. Step 2: Convert to fraction form
    6,546.76/9,035.70 = 4,188.82/x
  3. Step 3: Cross multiply
    6,546.76x = 9,035.70 × 4,188.82
  4. Step 4: Simplify right side
    6,546.76x = 37,848,920.87
  5. Step 5: Solve for x
    x = 37,848,920.87/6,546.76
  6. Step 6: Final answer
    x = 5,781.32

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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.