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Finding the Fourth Proportional to 9,565.38, 13,201.46 and 5,373.62

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Solution

The fourth proportional to 9,565.38, 13,201.46 and 5,373.62 is: 7,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.38 : 13,201.46 = 5,373.62 : x
  2. Step 2: Convert to fraction form
    9,565.38/13,201.46 = 5,373.62/x
  3. Step 3: Cross multiply
    9,565.38x = 13,201.46 × 5,373.62
  4. Step 4: Simplify right side
    9,565.38x = 70,939,629.49
  5. Step 5: Solve for x
    x = 70,939,629.49/9,565.38
  6. Step 6: Final answer
    x = 7,416.29

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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.