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Finding the Fourth Proportional to 6,546.90, 9,809.55 and 3,252.90

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Solution

The fourth proportional to 6,546.90, 9,809.55 and 3,252.90 is: 4,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.90 : 9,809.55 = 3,252.90 : x
  2. Step 2: Convert to fraction form
    6,546.90/9,809.55 = 3,252.90/x
  3. Step 3: Cross multiply
    6,546.90x = 9,809.55 × 3,252.90
  4. Step 4: Simplify right side
    6,546.90x = 31,909,485.20
  5. Step 5: Solve for x
    x = 31,909,485.20/6,546.90
  6. Step 6: Final answer
    x = 4,873.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.