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Finding the Fourth Proportional to 9,317.40, 12,857.31 and 5,125.92

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Solution

The fourth proportional to 9,317.40, 12,857.31 and 5,125.92 is: 7,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.40 : 12,857.31 = 5,125.92 : x
  2. Step 2: Convert to fraction form
    9,317.40/12,857.31 = 5,125.92/x
  3. Step 3: Cross multiply
    9,317.40x = 12,857.31 × 5,125.92
  4. Step 4: Simplify right side
    9,317.40x = 65,905,542.48
  5. Step 5: Solve for x
    x = 65,905,542.48/9,317.40
  6. Step 6: Final answer
    x = 7,073.38

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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.