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Finding the Fourth Proportional to 9,384, 12,950.32 and 5,192.26

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Solution

The fourth proportional to 9,384, 12,950.32 and 5,192.26 is: 7,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384 : 12,950.32 = 5,192.26 : x
  2. Step 2: Convert to fraction form
    9,384/12,950.32 = 5,192.26/x
  3. Step 3: Cross multiply
    9,384x = 12,950.32 × 5,192.26
  4. Step 4: Simplify right side
    9,384x = 67,241,428.52
  5. Step 5: Solve for x
    x = 67,241,428.52/9,384
  6. Step 6: Final answer
    x = 7,165.54

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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.