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Finding the Fourth Proportional to 9,057.81, 12,498.05 and 5,472.05

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Solution

The fourth proportional to 9,057.81, 12,498.05 and 5,472.05 is: 7,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.81 : 12,498.05 = 5,472.05 : x
  2. Step 2: Convert to fraction form
    9,057.81/12,498.05 = 5,472.05/x
  3. Step 3: Cross multiply
    9,057.81x = 12,498.05 × 5,472.05
  4. Step 4: Simplify right side
    9,057.81x = 68,389,864.65
  5. Step 5: Solve for x
    x = 68,389,864.65/9,057.81
  6. Step 6: Final answer
    x = 7,550.38

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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.