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Finding the Fourth Proportional to 6,436.53, 9,654.69 and 2,053.92

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Solution

The fourth proportional to 6,436.53, 9,654.69 and 2,053.92 is: 3,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.53 : 9,654.69 = 2,053.92 : x
  2. Step 2: Convert to fraction form
    6,436.53/9,654.69 = 2,053.92/x
  3. Step 3: Cross multiply
    6,436.53x = 9,654.69 × 2,053.92
  4. Step 4: Simplify right side
    6,436.53x = 19,829,960.88
  5. Step 5: Solve for x
    x = 19,829,960.88/6,436.53
  6. Step 6: Final answer
    x = 3,080.85

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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.