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Finding the Fourth Proportional to 6,546.30, 9,800.16 and 4,321.04

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Solution

The fourth proportional to 6,546.30, 9,800.16 and 4,321.04 is: 6,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.30 : 9,800.16 = 4,321.04 : x
  2. Step 2: Convert to fraction form
    6,546.30/9,800.16 = 4,321.04/x
  3. Step 3: Cross multiply
    6,546.30x = 9,800.16 × 4,321.04
  4. Step 4: Simplify right side
    6,546.30x = 42,346,834.37
  5. Step 5: Solve for x
    x = 42,346,834.37/6,546.30
  6. Step 6: Final answer
    x = 6,468.82

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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.