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Finding the Fourth Proportional to 6,522.80, 9,784.16 and 3,235

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Solution

The fourth proportional to 6,522.80, 9,784.16 and 3,235 is: 4,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.80 : 9,784.16 = 3,235 : x
  2. Step 2: Convert to fraction form
    6,522.80/9,784.16 = 3,235/x
  3. Step 3: Cross multiply
    6,522.80x = 9,784.16 × 3,235
  4. Step 4: Simplify right side
    6,522.80x = 31,651,757.60
  5. Step 5: Solve for x
    x = 31,651,757.60/6,522.80
  6. Step 6: Final answer
    x = 4,852.48

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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.