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Finding the Fourth Proportional to 6,333.30, 9,500.49 and 1,653.93

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Solution

The fourth proportional to 6,333.30, 9,500.49 and 1,653.93 is: 2,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.30 : 9,500.49 = 1,653.93 : x
  2. Step 2: Convert to fraction form
    6,333.30/9,500.49 = 1,653.93/x
  3. Step 3: Cross multiply
    6,333.30x = 9,500.49 × 1,653.93
  4. Step 4: Simplify right side
    6,333.30x = 15,713,145.43
  5. Step 5: Solve for x
    x = 15,713,145.43/6,333.30
  6. Step 6: Final answer
    x = 2,481.04

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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.