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Finding the Fourth Proportional to 6,175.30, 9,262.98 and 1,792.78

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Solution

The fourth proportional to 6,175.30, 9,262.98 and 1,792.78 is: 2,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.30 : 9,262.98 = 1,792.78 : x
  2. Step 2: Convert to fraction form
    6,175.30/9,262.98 = 1,792.78/x
  3. Step 3: Cross multiply
    6,175.30x = 9,262.98 × 1,792.78
  4. Step 4: Simplify right side
    6,175.30x = 16,606,485.28
  5. Step 5: Solve for x
    x = 16,606,485.28/6,175.30
  6. Step 6: Final answer
    x = 2,689.18

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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.