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Finding the Fourth Proportional to 9,975.86, 13,767.32 and 5,728.27

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Solution

The fourth proportional to 9,975.86, 13,767.32 and 5,728.27 is: 7,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.86 : 13,767.32 = 5,728.27 : x
  2. Step 2: Convert to fraction form
    9,975.86/13,767.32 = 5,728.27/x
  3. Step 3: Cross multiply
    9,975.86x = 13,767.32 × 5,728.27
  4. Step 4: Simplify right side
    9,975.86x = 78,862,899.63
  5. Step 5: Solve for x
    x = 78,862,899.63/9,975.86
  6. Step 6: Final answer
    x = 7,905.37

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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.