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Finding the Fourth Proportional to 9,443.40, 14,174.64 and 3,900.04

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Solution

The fourth proportional to 9,443.40, 14,174.64 and 3,900.04 is: 5,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.40 : 14,174.64 = 3,900.04 : x
  2. Step 2: Convert to fraction form
    9,443.40/14,174.64 = 3,900.04/x
  3. Step 3: Cross multiply
    9,443.40x = 14,174.64 × 3,900.04
  4. Step 4: Simplify right side
    9,443.40x = 55,281,662.99
  5. Step 5: Solve for x
    x = 55,281,662.99/9,443.40
  6. Step 6: Final answer
    x = 5,854.00

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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.