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Finding the Fourth Proportional to 9,523.17, 14,281.41 and 2,857.68

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Solution

The fourth proportional to 9,523.17, 14,281.41 and 2,857.68 is: 4,285.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.17 : 14,281.41 = 2,857.68 : x
  2. Step 2: Convert to fraction form
    9,523.17/14,281.41 = 2,857.68/x
  3. Step 3: Cross multiply
    9,523.17x = 14,281.41 × 2,857.68
  4. Step 4: Simplify right side
    9,523.17x = 40,811,699.73
  5. Step 5: Solve for x
    x = 40,811,699.73/9,523.17
  6. Step 6: Final answer
    x = 4,285.52

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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.