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Finding the Fourth Proportional to 6,277.12, 9,418.32 and 3,160

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Solution

The fourth proportional to 6,277.12, 9,418.32 and 3,160 is: 4,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.12 : 9,418.32 = 3,160 : x
  2. Step 2: Convert to fraction form
    6,277.12/9,418.32 = 3,160/x
  3. Step 3: Cross multiply
    6,277.12x = 9,418.32 × 3,160
  4. Step 4: Simplify right side
    6,277.12x = 29,761,891.20
  5. Step 5: Solve for x
    x = 29,761,891.20/6,277.12
  6. Step 6: Final answer
    x = 4,741.33

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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.