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Finding the Fourth Proportional to 9,472.64, 14,193.25 and 5,763.65

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Solution

The fourth proportional to 9,472.64, 14,193.25 and 5,763.65 is: 8,635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.64 : 14,193.25 = 5,763.65 : x
  2. Step 2: Convert to fraction form
    9,472.64/14,193.25 = 5,763.65/x
  3. Step 3: Cross multiply
    9,472.64x = 14,193.25 × 5,763.65
  4. Step 4: Simplify right side
    9,472.64x = 81,804,839.99
  5. Step 5: Solve for x
    x = 81,804,839.99/9,472.64
  6. Step 6: Final answer
    x = 8,635.91

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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.