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Finding the Fourth Proportional to 9,685.24, 13,370.04 and 7,446.32

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Solution

The fourth proportional to 9,685.24, 13,370.04 and 7,446.32 is: 10,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.24 : 13,370.04 = 7,446.32 : x
  2. Step 2: Convert to fraction form
    9,685.24/13,370.04 = 7,446.32/x
  3. Step 3: Cross multiply
    9,685.24x = 13,370.04 × 7,446.32
  4. Step 4: Simplify right side
    9,685.24x = 99,557,596.25
  5. Step 5: Solve for x
    x = 99,557,596.25/9,685.24
  6. Step 6: Final answer
    x = 10,279.31

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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.