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Finding the Fourth Proportional to 9,502.42, 13,113.30 and 5,310.68

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Solution

The fourth proportional to 9,502.42, 13,113.30 and 5,310.68 is: 7,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.42 : 13,113.30 = 5,310.68 : x
  2. Step 2: Convert to fraction form
    9,502.42/13,113.30 = 5,310.68/x
  3. Step 3: Cross multiply
    9,502.42x = 13,113.30 × 5,310.68
  4. Step 4: Simplify right side
    9,502.42x = 69,640,540.04
  5. Step 5: Solve for x
    x = 69,640,540.04/9,502.42
  6. Step 6: Final answer
    x = 7,328.72

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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.