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Finding the Fourth Proportional to 9,295.56, 12,828.66 and 5,104.56

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Solution

The fourth proportional to 9,295.56, 12,828.66 and 5,104.56 is: 7,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.56 : 12,828.66 = 5,104.56 : x
  2. Step 2: Convert to fraction form
    9,295.56/12,828.66 = 5,104.56/x
  3. Step 3: Cross multiply
    9,295.56x = 12,828.66 × 5,104.56
  4. Step 4: Simplify right side
    9,295.56x = 65,484,664.69
  5. Step 5: Solve for x
    x = 65,484,664.69/9,295.56
  6. Step 6: Final answer
    x = 7,044.73

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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.