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Finding the Fourth Proportional to 8,945.25, 12,342.62 and 4,965.51

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Solution

The fourth proportional to 8,945.25, 12,342.62 and 4,965.51 is: 6,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.25 : 12,342.62 = 4,965.51 : x
  2. Step 2: Convert to fraction form
    8,945.25/12,342.62 = 4,965.51/x
  3. Step 3: Cross multiply
    8,945.25x = 12,342.62 × 4,965.51
  4. Step 4: Simplify right side
    8,945.25x = 61,287,378.21
  5. Step 5: Solve for x
    x = 61,287,378.21/8,945.25
  6. Step 6: Final answer
    x = 6,851.39

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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.