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Finding the Fourth Proportional to 9,466.32, 14,208.24 and 4,789.64

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Solution

The fourth proportional to 9,466.32, 14,208.24 and 4,789.64 is: 7,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.32 : 14,208.24 = 4,789.64 : x
  2. Step 2: Convert to fraction form
    9,466.32/14,208.24 = 4,789.64/x
  3. Step 3: Cross multiply
    9,466.32x = 14,208.24 × 4,789.64
  4. Step 4: Simplify right side
    9,466.32x = 68,052,354.63
  5. Step 5: Solve for x
    x = 68,052,354.63/9,466.32
  6. Step 6: Final answer
    x = 7,188.89

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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.