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Finding the Fourth Proportional to 9,399.57, 12,953.55 and 6,742.38

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Solution

The fourth proportional to 9,399.57, 12,953.55 and 6,742.38 is: 9,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.57 : 12,953.55 = 6,742.38 : x
  2. Step 2: Convert to fraction form
    9,399.57/12,953.55 = 6,742.38/x
  3. Step 3: Cross multiply
    9,399.57x = 12,953.55 × 6,742.38
  4. Step 4: Simplify right side
    9,399.57x = 87,337,756.45
  5. Step 5: Solve for x
    x = 87,337,756.45/9,399.57
  6. Step 6: Final answer
    x = 9,291.68

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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.