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Finding the Fourth Proportional to 9,246.75, 13,866.47 and 3,982.15

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Solution

The fourth proportional to 9,246.75, 13,866.47 and 3,982.15 is: 5,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.75 : 13,866.47 = 3,982.15 : x
  2. Step 2: Convert to fraction form
    9,246.75/13,866.47 = 3,982.15/x
  3. Step 3: Cross multiply
    9,246.75x = 13,866.47 × 3,982.15
  4. Step 4: Simplify right side
    9,246.75x = 55,218,363.51
  5. Step 5: Solve for x
    x = 55,218,363.51/9,246.75
  6. Step 6: Final answer
    x = 5,971.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.