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Finding the Fourth Proportional to 9,469.23, 13,068.65 and 5,694.32

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Solution

The fourth proportional to 9,469.23, 13,068.65 and 5,694.32 is: 7,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.23 : 13,068.65 = 5,694.32 : x
  2. Step 2: Convert to fraction form
    9,469.23/13,068.65 = 5,694.32/x
  3. Step 3: Cross multiply
    9,469.23x = 13,068.65 × 5,694.32
  4. Step 4: Simplify right side
    9,469.23x = 74,417,121.98
  5. Step 5: Solve for x
    x = 74,417,121.98/9,469.23
  6. Step 6: Final answer
    x = 7,858.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.