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Finding the Fourth Proportional to 6,242.49, 9,364.28 and 1,625.49

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Solution

The fourth proportional to 6,242.49, 9,364.28 and 1,625.49 is: 2,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.49 : 9,364.28 = 1,625.49 : x
  2. Step 2: Convert to fraction form
    6,242.49/9,364.28 = 1,625.49/x
  3. Step 3: Cross multiply
    6,242.49x = 9,364.28 × 1,625.49
  4. Step 4: Simplify right side
    6,242.49x = 15,221,535.37
  5. Step 5: Solve for x
    x = 15,221,535.37/6,242.49
  6. Step 6: Final answer
    x = 2,438.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.