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Finding the Fourth Proportional to 6,551.88, 9,821.34 and 3,260.04

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Solution

The fourth proportional to 6,551.88, 9,821.34 and 3,260.04 is: 4,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.88 : 9,821.34 = 3,260.04 : x
  2. Step 2: Convert to fraction form
    6,551.88/9,821.34 = 3,260.04/x
  3. Step 3: Cross multiply
    6,551.88x = 9,821.34 × 3,260.04
  4. Step 4: Simplify right side
    6,551.88x = 32,017,961.25
  5. Step 5: Solve for x
    x = 32,017,961.25/6,551.88
  6. Step 6: Final answer
    x = 4,886.84

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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.