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Finding the Fourth Proportional to 6,282.49, 9,412.94 and 4,895.29

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Solution

The fourth proportional to 6,282.49, 9,412.94 and 4,895.29 is: 7,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.49 : 9,412.94 = 4,895.29 : x
  2. Step 2: Convert to fraction form
    6,282.49/9,412.94 = 4,895.29/x
  3. Step 3: Cross multiply
    6,282.49x = 9,412.94 × 4,895.29
  4. Step 4: Simplify right side
    6,282.49x = 46,079,046.58
  5. Step 5: Solve for x
    x = 46,079,046.58/6,282.49
  6. Step 6: Final answer
    x = 7,334.52

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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.