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Finding the Fourth Proportional to 27,804.48, 41,712.96 and 9,336

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Solution

The fourth proportional to 27,804.48, 41,712.96 and 9,336 is: 14,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,804.48 : 41,712.96 = 9,336 : x
  2. Step 2: Convert to fraction form
    27,804.48/41,712.96 = 9,336/x
  3. Step 3: Cross multiply
    27,804.48x = 41,712.96 × 9,336
  4. Step 4: Simplify right side
    27,804.48x = 389,432,194.56
  5. Step 5: Solve for x
    x = 389,432,194.56/27,804.48
  6. Step 6: Final answer
    x = 14,006.10

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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.