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Finding the Fourth Proportional to 9,857.90, 14,770.35 and 6,930.97

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Solution

The fourth proportional to 9,857.90, 14,770.35 and 6,930.97 is: 10,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.90 : 14,770.35 = 6,930.97 : x
  2. Step 2: Convert to fraction form
    9,857.90/14,770.35 = 6,930.97/x
  3. Step 3: Cross multiply
    9,857.90x = 14,770.35 × 6,930.97
  4. Step 4: Simplify right side
    9,857.90x = 102,372,815.81
  5. Step 5: Solve for x
    x = 102,372,815.81/9,857.90
  6. Step 6: Final answer
    x = 10,384.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.