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Finding the Fourth Proportional to 9,502.41, 13,113.31 and 5,310.66

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Solution

The fourth proportional to 9,502.41, 13,113.31 and 5,310.66 is: 7,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.41 : 13,113.31 = 5,310.66 : x
  2. Step 2: Convert to fraction form
    9,502.41/13,113.31 = 5,310.66/x
  3. Step 3: Cross multiply
    9,502.41x = 13,113.31 × 5,310.66
  4. Step 4: Simplify right side
    9,502.41x = 69,640,304.33
  5. Step 5: Solve for x
    x = 69,640,304.33/9,502.41
  6. Step 6: Final answer
    x = 7,328.70

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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.