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Finding the Fourth Proportional to 10,031.86, 13,846.27 and 6,674.81

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Solution

The fourth proportional to 10,031.86, 13,846.27 and 6,674.81 is: 9,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.86 : 13,846.27 = 6,674.81 : x
  2. Step 2: Convert to fraction form
    10,031.86/13,846.27 = 6,674.81/x
  3. Step 3: Cross multiply
    10,031.86x = 13,846.27 × 6,674.81
  4. Step 4: Simplify right side
    10,031.86x = 92,421,239.39
  5. Step 5: Solve for x
    x = 92,421,239.39/10,031.86
  6. Step 6: Final answer
    x = 9,212.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.