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Finding the Fourth Proportional to 9,857.34, 14,770.80 and 4,853.97

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Solution

The fourth proportional to 9,857.34, 14,770.80 and 4,853.97 is: 7,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.34 : 14,770.80 = 4,853.97 : x
  2. Step 2: Convert to fraction form
    9,857.34/14,770.80 = 4,853.97/x
  3. Step 3: Cross multiply
    9,857.34x = 14,770.80 × 4,853.97
  4. Step 4: Simplify right side
    9,857.34x = 71,697,020.08
  5. Step 5: Solve for x
    x = 71,697,020.08/9,857.34
  6. Step 6: Final answer
    x = 7,273.47

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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.