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Finding the Fourth Proportional to 9,857.70, 14,784.30 and 2,837.70

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Solution

The fourth proportional to 9,857.70, 14,784.30 and 2,837.70 is: 4,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.70 : 14,784.30 = 2,837.70 : x
  2. Step 2: Convert to fraction form
    9,857.70/14,784.30 = 2,837.70/x
  3. Step 3: Cross multiply
    9,857.70x = 14,784.30 × 2,837.70
  4. Step 4: Simplify right side
    9,857.70x = 41,953,408.11
  5. Step 5: Solve for x
    x = 41,953,408.11/9,857.70
  6. Step 6: Final answer
    x = 4,255.90

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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.