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Finding the Fourth Proportional to 6,414.48, 9,622.32 and 1,797.52

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Solution

The fourth proportional to 6,414.48, 9,622.32 and 1,797.52 is: 2,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.48 : 9,622.32 = 1,797.52 : x
  2. Step 2: Convert to fraction form
    6,414.48/9,622.32 = 1,797.52/x
  3. Step 3: Cross multiply
    6,414.48x = 9,622.32 × 1,797.52
  4. Step 4: Simplify right side
    6,414.48x = 17,296,312.65
  5. Step 5: Solve for x
    x = 17,296,312.65/6,414.48
  6. Step 6: Final answer
    x = 2,696.45

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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.