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Finding the Fourth Proportional to 9,766.54, 14,657.10 and 7,841.98

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Solution

The fourth proportional to 9,766.54, 14,657.10 and 7,841.98 is: 11,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.54 : 14,657.10 = 7,841.98 : x
  2. Step 2: Convert to fraction form
    9,766.54/14,657.10 = 7,841.98/x
  3. Step 3: Cross multiply
    9,766.54x = 14,657.10 × 7,841.98
  4. Step 4: Simplify right side
    9,766.54x = 114,940,685.06
  5. Step 5: Solve for x
    x = 114,940,685.06/9,766.54
  6. Step 6: Final answer
    x = 11,768.82

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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.