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Finding the Fourth Proportional to 9,509.38, 13,124.76 and 6,371.04

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Solution

The fourth proportional to 9,509.38, 13,124.76 and 6,371.04 is: 8,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.38 : 13,124.76 = 6,371.04 : x
  2. Step 2: Convert to fraction form
    9,509.38/13,124.76 = 6,371.04/x
  3. Step 3: Cross multiply
    9,509.38x = 13,124.76 × 6,371.04
  4. Step 4: Simplify right side
    9,509.38x = 83,618,370.95
  5. Step 5: Solve for x
    x = 83,618,370.95/9,509.38
  6. Step 6: Final answer
    x = 8,793.25

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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.