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Finding the Fourth Proportional to 6,744.90, 9,304.48 and 4,506.06

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Solution

The fourth proportional to 6,744.90, 9,304.48 and 4,506.06 is: 6,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.90 : 9,304.48 = 4,506.06 : x
  2. Step 2: Convert to fraction form
    6,744.90/9,304.48 = 4,506.06/x
  3. Step 3: Cross multiply
    6,744.90x = 9,304.48 × 4,506.06
  4. Step 4: Simplify right side
    6,744.90x = 41,926,545.15
  5. Step 5: Solve for x
    x = 41,926,545.15/6,744.90
  6. Step 6: Final answer
    x = 6,216.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.