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Finding the Fourth Proportional to 9,154.49, 13,730.82 and 6,211.81

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Solution

The fourth proportional to 9,154.49, 13,730.82 and 6,211.81 is: 9,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.49 : 13,730.82 = 6,211.81 : x
  2. Step 2: Convert to fraction form
    9,154.49/13,730.82 = 6,211.81/x
  3. Step 3: Cross multiply
    9,154.49x = 13,730.82 × 6,211.81
  4. Step 4: Simplify right side
    9,154.49x = 85,293,161.62
  5. Step 5: Solve for x
    x = 85,293,161.62/9,154.49
  6. Step 6: Final answer
    x = 9,317.09

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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.