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Finding the Fourth Proportional to 9,229.89, 13,848.90 and 4,846.32

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Solution

The fourth proportional to 9,229.89, 13,848.90 and 4,846.32 is: 7,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.89 : 13,848.90 = 4,846.32 : x
  2. Step 2: Convert to fraction form
    9,229.89/13,848.90 = 4,846.32/x
  3. Step 3: Cross multiply
    9,229.89x = 13,848.90 × 4,846.32
  4. Step 4: Simplify right side
    9,229.89x = 67,116,201.05
  5. Step 5: Solve for x
    x = 67,116,201.05/9,229.89
  6. Step 6: Final answer
    x = 7,271.61

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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.