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Finding the Fourth Proportional to 34,857.42, 52,286.03 and 9,897.50

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Solution

The fourth proportional to 34,857.42, 52,286.03 and 9,897.50 is: 14,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857.42 : 52,286.03 = 9,897.50 : x
  2. Step 2: Convert to fraction form
    34,857.42/52,286.03 = 9,897.50/x
  3. Step 3: Cross multiply
    34,857.42x = 52,286.03 × 9,897.50
  4. Step 4: Simplify right side
    34,857.42x = 517,500,671.01
  5. Step 5: Solve for x
    x = 517,500,671.01/34,857.42
  6. Step 6: Final answer
    x = 14,846.21

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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.