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Finding the Fourth Proportional to 9,523.12, 13,132.56 and 5,986.48

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Solution

The fourth proportional to 9,523.12, 13,132.56 and 5,986.48 is: 8,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.12 : 13,132.56 = 5,986.48 : x
  2. Step 2: Convert to fraction form
    9,523.12/13,132.56 = 5,986.48/x
  3. Step 3: Cross multiply
    9,523.12x = 13,132.56 × 5,986.48
  4. Step 4: Simplify right side
    9,523.12x = 78,617,807.79
  5. Step 5: Solve for x
    x = 78,617,807.79/9,523.12
  6. Step 6: Final answer
    x = 8,255.47

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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.