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Finding the Fourth Proportional to 9,574.43, 14,363.67 and 4,833.29

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Solution

The fourth proportional to 9,574.43, 14,363.67 and 4,833.29 is: 7,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.43 : 14,363.67 = 4,833.29 : x
  2. Step 2: Convert to fraction form
    9,574.43/14,363.67 = 4,833.29/x
  3. Step 3: Cross multiply
    9,574.43x = 14,363.67 × 4,833.29
  4. Step 4: Simplify right side
    9,574.43x = 69,423,782.57
  5. Step 5: Solve for x
    x = 69,423,782.57/9,574.43
  6. Step 6: Final answer
    x = 7,250.96

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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.