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Finding the Fourth Proportional to 9,365.14, 14,047.65 and 2,439.64

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Solution

The fourth proportional to 9,365.14, 14,047.65 and 2,439.64 is: 3,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.14 : 14,047.65 = 2,439.64 : x
  2. Step 2: Convert to fraction form
    9,365.14/14,047.65 = 2,439.64/x
  3. Step 3: Cross multiply
    9,365.14x = 14,047.65 × 2,439.64
  4. Step 4: Simplify right side
    9,365.14x = 34,271,208.85
  5. Step 5: Solve for x
    x = 34,271,208.85/9,365.14
  6. Step 6: Final answer
    x = 3,659.44

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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.