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Finding the Fourth Proportional to 9,832.69, 14,751.36 and 4,287.03

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Solution

The fourth proportional to 9,832.69, 14,751.36 and 4,287.03 is: 6,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.69 : 14,751.36 = 4,287.03 : x
  2. Step 2: Convert to fraction form
    9,832.69/14,751.36 = 4,287.03/x
  3. Step 3: Cross multiply
    9,832.69x = 14,751.36 × 4,287.03
  4. Step 4: Simplify right side
    9,832.69x = 63,239,522.86
  5. Step 5: Solve for x
    x = 63,239,522.86/9,832.69
  6. Step 6: Final answer
    x = 6,431.56

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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.