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Finding the Fourth Proportional to 9,535.70, 13,157.12 and 5,759.48

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Solution

The fourth proportional to 9,535.70, 13,157.12 and 5,759.48 is: 7,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.70 : 13,157.12 = 5,759.48 : x
  2. Step 2: Convert to fraction form
    9,535.70/13,157.12 = 5,759.48/x
  3. Step 3: Cross multiply
    9,535.70x = 13,157.12 × 5,759.48
  4. Step 4: Simplify right side
    9,535.70x = 75,778,169.50
  5. Step 5: Solve for x
    x = 75,778,169.50/9,535.70
  6. Step 6: Final answer
    x = 7,946.79

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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.