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Finding the Fourth Proportional to 9,349.56, 14,028.48 and 4,965.96

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Solution

The fourth proportional to 9,349.56, 14,028.48 and 4,965.96 is: 7,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.56 : 14,028.48 = 4,965.96 : x
  2. Step 2: Convert to fraction form
    9,349.56/14,028.48 = 4,965.96/x
  3. Step 3: Cross multiply
    9,349.56x = 14,028.48 × 4,965.96
  4. Step 4: Simplify right side
    9,349.56x = 69,664,870.54
  5. Step 5: Solve for x
    x = 69,664,870.54/9,349.56
  6. Step 6: Final answer
    x = 7,451.14

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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.