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Finding the Fourth Proportional to 6,175.86, 9,257.04 and 2,477.04

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Solution

The fourth proportional to 6,175.86, 9,257.04 and 2,477.04 is: 3,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.86 : 9,257.04 = 2,477.04 : x
  2. Step 2: Convert to fraction form
    6,175.86/9,257.04 = 2,477.04/x
  3. Step 3: Cross multiply
    6,175.86x = 9,257.04 × 2,477.04
  4. Step 4: Simplify right side
    6,175.86x = 22,930,058.36
  5. Step 5: Solve for x
    x = 22,930,058.36/6,175.86
  6. Step 6: Final answer
    x = 3,712.85

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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.