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Finding the Fourth Proportional to 9,523.17, 13,143.24 and 5,748.48

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Solution

The fourth proportional to 9,523.17, 13,143.24 and 5,748.48 is: 7,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.17 : 13,143.24 = 5,748.48 : x
  2. Step 2: Convert to fraction form
    9,523.17/13,143.24 = 5,748.48/x
  3. Step 3: Cross multiply
    9,523.17x = 13,143.24 × 5,748.48
  4. Step 4: Simplify right side
    9,523.17x = 75,553,652.28
  5. Step 5: Solve for x
    x = 75,553,652.28/9,523.17
  6. Step 6: Final answer
    x = 7,933.67

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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.