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Finding the Fourth Proportional to 9,565.38, 13,202.19 and 6,026.22

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Solution

The fourth proportional to 9,565.38, 13,202.19 and 6,026.22 is: 8,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.38 : 13,202.19 = 6,026.22 : x
  2. Step 2: Convert to fraction form
    9,565.38/13,202.19 = 6,026.22/x
  3. Step 3: Cross multiply
    9,565.38x = 13,202.19 × 6,026.22
  4. Step 4: Simplify right side
    9,565.38x = 79,559,301.42
  5. Step 5: Solve for x
    x = 79,559,301.42/9,565.38
  6. Step 6: Final answer
    x = 8,317.42

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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.