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Finding the Fourth Proportional to 9,726.94, 14,584.02 and 4,799.80

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Solution

The fourth proportional to 9,726.94, 14,584.02 and 4,799.80 is: 7,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.94 : 14,584.02 = 4,799.80 : x
  2. Step 2: Convert to fraction form
    9,726.94/14,584.02 = 4,799.80/x
  3. Step 3: Cross multiply
    9,726.94x = 14,584.02 × 4,799.80
  4. Step 4: Simplify right side
    9,726.94x = 70,000,379.20
  5. Step 5: Solve for x
    x = 70,000,379.20/9,726.94
  6. Step 6: Final answer
    x = 7,196.55

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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.