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Finding the Fourth Proportional to 6,625.40, 9,133.43 and 4,629.77

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Solution

The fourth proportional to 6,625.40, 9,133.43 and 4,629.77 is: 6,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.40 : 9,133.43 = 4,629.77 : x
  2. Step 2: Convert to fraction form
    6,625.40/9,133.43 = 4,629.77/x
  3. Step 3: Cross multiply
    6,625.40x = 9,133.43 × 4,629.77
  4. Step 4: Simplify right side
    6,625.40x = 42,285,680.21
  5. Step 5: Solve for x
    x = 42,285,680.21/6,625.40
  6. Step 6: Final answer
    x = 6,382.36

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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.