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Finding the Fourth Proportional to 9,945.65, 14,917.69 and 5,783

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Solution

The fourth proportional to 9,945.65, 14,917.69 and 5,783 is: 8,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.65 : 14,917.69 = 5,783 : x
  2. Step 2: Convert to fraction form
    9,945.65/14,917.69 = 5,783/x
  3. Step 3: Cross multiply
    9,945.65x = 14,917.69 × 5,783
  4. Step 4: Simplify right side
    9,945.65x = 86,269,001.27
  5. Step 5: Solve for x
    x = 86,269,001.27/9,945.65
  6. Step 6: Final answer
    x = 8,674.04

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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.