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Finding the Fourth Proportional to 9,853.97, 14,770.02 and 4,007.39

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Solution

The fourth proportional to 9,853.97, 14,770.02 and 4,007.39 is: 6,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.97 : 14,770.02 = 4,007.39 : x
  2. Step 2: Convert to fraction form
    9,853.97/14,770.02 = 4,007.39/x
  3. Step 3: Cross multiply
    9,853.97x = 14,770.02 × 4,007.39
  4. Step 4: Simplify right side
    9,853.97x = 59,189,230.45
  5. Step 5: Solve for x
    x = 59,189,230.45/9,853.97
  6. Step 6: Final answer
    x = 6,006.64

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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.