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Finding the Fourth Proportional to 9,871.49, 14,813.06 and 3,635.87

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Solution

The fourth proportional to 9,871.49, 14,813.06 and 3,635.87 is: 5,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.49 : 14,813.06 = 3,635.87 : x
  2. Step 2: Convert to fraction form
    9,871.49/14,813.06 = 3,635.87/x
  3. Step 3: Cross multiply
    9,871.49x = 14,813.06 × 3,635.87
  4. Step 4: Simplify right side
    9,871.49x = 53,858,360.46
  5. Step 5: Solve for x
    x = 53,858,360.46/9,871.49
  6. Step 6: Final answer
    x = 5,455.95

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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.