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Finding the Fourth Proportional to 9,483.38, 14,229.62 and 5,100.26

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Solution

The fourth proportional to 9,483.38, 14,229.62 and 5,100.26 is: 7,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.38 : 14,229.62 = 5,100.26 : x
  2. Step 2: Convert to fraction form
    9,483.38/14,229.62 = 5,100.26/x
  3. Step 3: Cross multiply
    9,483.38x = 14,229.62 × 5,100.26
  4. Step 4: Simplify right side
    9,483.38x = 72,574,736.20
  5. Step 5: Solve for x
    x = 72,574,736.20/9,483.38
  6. Step 6: Final answer
    x = 7,652.84

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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.