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Finding the Fourth Proportional to 9,508.80, 14,265.24 and 4,829.43

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Solution

The fourth proportional to 9,508.80, 14,265.24 and 4,829.43 is: 7,245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.80 : 14,265.24 = 4,829.43 : x
  2. Step 2: Convert to fraction form
    9,508.80/14,265.24 = 4,829.43/x
  3. Step 3: Cross multiply
    9,508.80x = 14,265.24 × 4,829.43
  4. Step 4: Simplify right side
    9,508.80x = 68,892,978.01
  5. Step 5: Solve for x
    x = 68,892,978.01/9,508.80
  6. Step 6: Final answer
    x = 7,245.18

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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.