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Finding the Fourth Proportional to 9,460.32, 14,190.24 and 5,763.48

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Solution

The fourth proportional to 9,460.32, 14,190.24 and 5,763.48 is: 8,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.32 : 14,190.24 = 5,763.48 : x
  2. Step 2: Convert to fraction form
    9,460.32/14,190.24 = 5,763.48/x
  3. Step 3: Cross multiply
    9,460.32x = 14,190.24 × 5,763.48
  4. Step 4: Simplify right side
    9,460.32x = 81,785,164.44
  5. Step 5: Solve for x
    x = 81,785,164.44/9,460.32
  6. Step 6: Final answer
    x = 8,645.07

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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.