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Finding the Fourth Proportional to 9,713.22, 14,561.10 and 3,873.84

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Solution

The fourth proportional to 9,713.22, 14,561.10 and 3,873.84 is: 5,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.22 : 14,561.10 = 3,873.84 : x
  2. Step 2: Convert to fraction form
    9,713.22/14,561.10 = 3,873.84/x
  3. Step 3: Cross multiply
    9,713.22x = 14,561.10 × 3,873.84
  4. Step 4: Simplify right side
    9,713.22x = 56,407,371.62
  5. Step 5: Solve for x
    x = 56,407,371.62/9,713.22
  6. Step 6: Final answer
    x = 5,807.28

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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.