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Finding the Fourth Proportional to 9,811.16, 14,726.97 and 4,884.44

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Solution

The fourth proportional to 9,811.16, 14,726.97 and 4,884.44 is: 7,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.16 : 14,726.97 = 4,884.44 : x
  2. Step 2: Convert to fraction form
    9,811.16/14,726.97 = 4,884.44/x
  3. Step 3: Cross multiply
    9,811.16x = 14,726.97 × 4,884.44
  4. Step 4: Simplify right side
    9,811.16x = 71,933,001.35
  5. Step 5: Solve for x
    x = 71,933,001.35/9,811.16
  6. Step 6: Final answer
    x = 7,331.75

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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.