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Finding the Fourth Proportional to 6,504.88, 9,756.97 and 1,825.21

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Solution

The fourth proportional to 6,504.88, 9,756.97 and 1,825.21 is: 2,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.88 : 9,756.97 = 1,825.21 : x
  2. Step 2: Convert to fraction form
    6,504.88/9,756.97 = 1,825.21/x
  3. Step 3: Cross multiply
    6,504.88x = 9,756.97 × 1,825.21
  4. Step 4: Simplify right side
    6,504.88x = 17,808,510.09
  5. Step 5: Solve for x
    x = 17,808,510.09/6,504.88
  6. Step 6: Final answer
    x = 2,737.72

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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.