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Finding the Fourth Proportional to 9,523.02, 13,141.35 and 5,747.10

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Solution

The fourth proportional to 9,523.02, 13,141.35 and 5,747.10 is: 7,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.02 : 13,141.35 = 5,747.10 : x
  2. Step 2: Convert to fraction form
    9,523.02/13,141.35 = 5,747.10/x
  3. Step 3: Cross multiply
    9,523.02x = 13,141.35 × 5,747.10
  4. Step 4: Simplify right side
    9,523.02x = 75,524,652.59
  5. Step 5: Solve for x
    x = 75,524,652.59/9,523.02
  6. Step 6: Final answer
    x = 7,930.75

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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.