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Finding the Fourth Proportional to 9,489.38, 14,242.74 and 4,812.62

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Solution

The fourth proportional to 9,489.38, 14,242.74 and 4,812.62 is: 7,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.38 : 14,242.74 = 4,812.62 : x
  2. Step 2: Convert to fraction form
    9,489.38/14,242.74 = 4,812.62/x
  3. Step 3: Cross multiply
    9,489.38x = 14,242.74 × 4,812.62
  4. Step 4: Simplify right side
    9,489.38x = 68,544,824.17
  5. Step 5: Solve for x
    x = 68,544,824.17/9,489.38
  6. Step 6: Final answer
    x = 7,223.32

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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.