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Finding the Fourth Proportional to 34,853.94, 52,282.89 and 9,892.02

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Solution

The fourth proportional to 34,853.94, 52,282.89 and 9,892.02 is: 14,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,853.94 : 52,282.89 = 9,892.02 : x
  2. Step 2: Convert to fraction form
    34,853.94/52,282.89 = 9,892.02/x
  3. Step 3: Cross multiply
    34,853.94x = 52,282.89 × 9,892.02
  4. Step 4: Simplify right side
    34,853.94x = 517,183,393.54
  5. Step 5: Solve for x
    x = 517,183,393.54/34,853.94
  6. Step 6: Final answer
    x = 14,838.59

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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.