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Finding the Fourth Proportional to 9,513.99, 14,251.83 and 4,441

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Solution

The fourth proportional to 9,513.99, 14,251.83 and 4,441 is: 6,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.99 : 14,251.83 = 4,441 : x
  2. Step 2: Convert to fraction form
    9,513.99/14,251.83 = 4,441/x
  3. Step 3: Cross multiply
    9,513.99x = 14,251.83 × 4,441
  4. Step 4: Simplify right side
    9,513.99x = 63,292,377.03
  5. Step 5: Solve for x
    x = 63,292,377.03/9,513.99
  6. Step 6: Final answer
    x = 6,652.56

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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.