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Finding the Fourth Proportional to 9,778.83, 14,672.49 and 4,845.66

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Solution

The fourth proportional to 9,778.83, 14,672.49 and 4,845.66 is: 7,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.83 : 14,672.49 = 4,845.66 : x
  2. Step 2: Convert to fraction form
    9,778.83/14,672.49 = 4,845.66/x
  3. Step 3: Cross multiply
    9,778.83x = 14,672.49 × 4,845.66
  4. Step 4: Simplify right side
    9,778.83x = 71,097,897.89
  5. Step 5: Solve for x
    x = 71,097,897.89/9,778.83
  6. Step 6: Final answer
    x = 7,270.59

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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.