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Finding the Fourth Proportional to 9,713.64, 14,570.44 and 4,163.39

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Solution

The fourth proportional to 9,713.64, 14,570.44 and 4,163.39 is: 6,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.64 : 14,570.44 = 4,163.39 : x
  2. Step 2: Convert to fraction form
    9,713.64/14,570.44 = 4,163.39/x
  3. Step 3: Cross multiply
    9,713.64x = 14,570.44 × 4,163.39
  4. Step 4: Simplify right side
    9,713.64x = 60,662,330.52
  5. Step 5: Solve for x
    x = 60,662,330.52/9,713.64
  6. Step 6: Final answer
    x = 6,245.07

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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.