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Finding the Fourth Proportional to 9,853.94, 14,776.83 and 4,006.58

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Solution

The fourth proportional to 9,853.94, 14,776.83 and 4,006.58 is: 6,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.94 : 14,776.83 = 4,006.58 : x
  2. Step 2: Convert to fraction form
    9,853.94/14,776.83 = 4,006.58/x
  3. Step 3: Cross multiply
    9,853.94x = 14,776.83 × 4,006.58
  4. Step 4: Simplify right side
    9,853.94x = 59,204,551.54
  5. Step 5: Solve for x
    x = 59,204,551.54/9,853.94
  6. Step 6: Final answer
    x = 6,008.21

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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.