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Finding the Fourth Proportional to 9,516.65, 14,259.24 and 3,273.30

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Solution

The fourth proportional to 9,516.65, 14,259.24 and 3,273.30 is: 4,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.65 : 14,259.24 = 3,273.30 : x
  2. Step 2: Convert to fraction form
    9,516.65/14,259.24 = 3,273.30/x
  3. Step 3: Cross multiply
    9,516.65x = 14,259.24 × 3,273.30
  4. Step 4: Simplify right side
    9,516.65x = 46,674,770.29
  5. Step 5: Solve for x
    x = 46,674,770.29/9,516.65
  6. Step 6: Final answer
    x = 4,904.54

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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.