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Finding the Fourth Proportional to 9,246.48, 12,760.38 and 5,661.36

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Solution

The fourth proportional to 9,246.48, 12,760.38 and 5,661.36 is: 7,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.48 : 12,760.38 = 5,661.36 : x
  2. Step 2: Convert to fraction form
    9,246.48/12,760.38 = 5,661.36/x
  3. Step 3: Cross multiply
    9,246.48x = 12,760.38 × 5,661.36
  4. Step 4: Simplify right side
    9,246.48x = 72,241,104.92
  5. Step 5: Solve for x
    x = 72,241,104.92/9,246.48
  6. Step 6: Final answer
    x = 7,812.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.