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Finding the Fourth Proportional to 10,416.20, 14,381.07 and 9,295.22

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Solution

The fourth proportional to 10,416.20, 14,381.07 and 9,295.22 is: 12,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.20 : 14,381.07 = 9,295.22 : x
  2. Step 2: Convert to fraction form
    10,416.20/14,381.07 = 9,295.22/x
  3. Step 3: Cross multiply
    10,416.20x = 14,381.07 × 9,295.22
  4. Step 4: Simplify right side
    10,416.20x = 133,675,137.58
  5. Step 5: Solve for x
    x = 133,675,137.58/10,416.20
  6. Step 6: Final answer
    x = 12,833.39

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Why These Related Problems?

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