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Finding the Fourth Proportional to 9,481.47, 14,229.47 and 4,290.99

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Solution

The fourth proportional to 9,481.47, 14,229.47 and 4,290.99 is: 6,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.47 : 14,229.47 = 4,290.99 : x
  2. Step 2: Convert to fraction form
    9,481.47/14,229.47 = 4,290.99/x
  3. Step 3: Cross multiply
    9,481.47x = 14,229.47 × 4,290.99
  4. Step 4: Simplify right side
    9,481.47x = 61,058,492.02
  5. Step 5: Solve for x
    x = 61,058,492.02/9,481.47
  6. Step 6: Final answer
    x = 6,439.77

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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.