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Finding the Fourth Proportional to 34,857.16, 52,277.88 and 9,896.69

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Solution

The fourth proportional to 34,857.16, 52,277.88 and 9,896.69 is: 14,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857.16 : 52,277.88 = 9,896.69 : x
  2. Step 2: Convert to fraction form
    34,857.16/52,277.88 = 9,896.69/x
  3. Step 3: Cross multiply
    34,857.16x = 52,277.88 × 9,896.69
  4. Step 4: Simplify right side
    34,857.16x = 517,377,972.22
  5. Step 5: Solve for x
    x = 517,377,972.22/34,857.16
  6. Step 6: Final answer
    x = 14,842.80

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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.