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Finding the Fourth Proportional to 6,405.25, 9,604.54 and 3,024.52

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Solution

The fourth proportional to 6,405.25, 9,604.54 and 3,024.52 is: 4,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.25 : 9,604.54 = 3,024.52 : x
  2. Step 2: Convert to fraction form
    6,405.25/9,604.54 = 3,024.52/x
  3. Step 3: Cross multiply
    6,405.25x = 9,604.54 × 3,024.52
  4. Step 4: Simplify right side
    6,405.25x = 29,049,123.32
  5. Step 5: Solve for x
    x = 29,049,123.32/6,405.25
  6. Step 6: Final answer
    x = 4,535.21

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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.