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Finding the Fourth Proportional to 9,462, 13,058.38 and 5,213.76

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Solution

The fourth proportional to 9,462, 13,058.38 and 5,213.76 is: 7,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462 : 13,058.38 = 5,213.76 : x
  2. Step 2: Convert to fraction form
    9,462/13,058.38 = 5,213.76/x
  3. Step 3: Cross multiply
    9,462x = 13,058.38 × 5,213.76
  4. Step 4: Simplify right side
    9,462x = 68,083,259.31
  5. Step 5: Solve for x
    x = 68,083,259.31/9,462
  6. Step 6: Final answer
    x = 7,195.44

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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.