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Finding the Fourth Proportional to 9,565.56, 13,200.70 and 5,739.12

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Solution

The fourth proportional to 9,565.56, 13,200.70 and 5,739.12 is: 7,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.56 : 13,200.70 = 5,739.12 : x
  2. Step 2: Convert to fraction form
    9,565.56/13,200.70 = 5,739.12/x
  3. Step 3: Cross multiply
    9,565.56x = 13,200.70 × 5,739.12
  4. Step 4: Simplify right side
    9,565.56x = 75,760,401.38
  5. Step 5: Solve for x
    x = 75,760,401.38/9,565.56
  6. Step 6: Final answer
    x = 7,920.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.