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Finding the Fourth Proportional to 9,338.79, 14,004.70 and 3,097.64

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Solution

The fourth proportional to 9,338.79, 14,004.70 and 3,097.64 is: 4,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.79 : 14,004.70 = 3,097.64 : x
  2. Step 2: Convert to fraction form
    9,338.79/14,004.70 = 3,097.64/x
  3. Step 3: Cross multiply
    9,338.79x = 14,004.70 × 3,097.64
  4. Step 4: Simplify right side
    9,338.79x = 43,381,546.18
  5. Step 5: Solve for x
    x = 43,381,546.18/9,338.79
  6. Step 6: Final answer
    x = 4,645.31

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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.