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Finding the Fourth Proportional to 9,662.58, 14,484.06 and 5,493.97

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Solution

The fourth proportional to 9,662.58, 14,484.06 and 5,493.97 is: 8,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.58 : 14,484.06 = 5,493.97 : x
  2. Step 2: Convert to fraction form
    9,662.58/14,484.06 = 5,493.97/x
  3. Step 3: Cross multiply
    9,662.58x = 14,484.06 × 5,493.97
  4. Step 4: Simplify right side
    9,662.58x = 79,574,991.12
  5. Step 5: Solve for x
    x = 79,574,991.12/9,662.58
  6. Step 6: Final answer
    x = 8,235.38

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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.