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Finding the Fourth Proportional to 9,522.86, 13,142.72 and 5,748.19

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Solution

The fourth proportional to 9,522.86, 13,142.72 and 5,748.19 is: 7,933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.86 : 13,142.72 = 5,748.19 : x
  2. Step 2: Convert to fraction form
    9,522.86/13,142.72 = 5,748.19/x
  3. Step 3: Cross multiply
    9,522.86x = 13,142.72 × 5,748.19
  4. Step 4: Simplify right side
    9,522.86x = 75,546,851.68
  5. Step 5: Solve for x
    x = 75,546,851.68/9,522.86
  6. Step 6: Final answer
    x = 7,933.21

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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.