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Finding the Fourth Proportional to 9,565.38, 13,201.92 and 6,585.60

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Solution

The fourth proportional to 9,565.38, 13,201.92 and 6,585.60 is: 9,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.38 : 13,201.92 = 6,585.60 : x
  2. Step 2: Convert to fraction form
    9,565.38/13,201.92 = 6,585.60/x
  3. Step 3: Cross multiply
    9,565.38x = 13,201.92 × 6,585.60
  4. Step 4: Simplify right side
    9,565.38x = 86,942,564.35
  5. Step 5: Solve for x
    x = 86,942,564.35/9,565.38
  6. Step 6: Final answer
    x = 9,089.30

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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.