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Finding the Fourth Proportional to 9,385.86, 14,078.80 and 4,119.66

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Solution

The fourth proportional to 9,385.86, 14,078.80 and 4,119.66 is: 6,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.86 : 14,078.80 = 4,119.66 : x
  2. Step 2: Convert to fraction form
    9,385.86/14,078.80 = 4,119.66/x
  3. Step 3: Cross multiply
    9,385.86x = 14,078.80 × 4,119.66
  4. Step 4: Simplify right side
    9,385.86x = 57,999,869.21
  5. Step 5: Solve for x
    x = 57,999,869.21/9,385.86
  6. Step 6: Final answer
    x = 6,179.49

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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.