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Finding the Fourth Proportional to 9,208.16, 13,805.28 and 3,283.82

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Solution

The fourth proportional to 9,208.16, 13,805.28 and 3,283.82 is: 4,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.16 : 13,805.28 = 3,283.82 : x
  2. Step 2: Convert to fraction form
    9,208.16/13,805.28 = 3,283.82/x
  3. Step 3: Cross multiply
    9,208.16x = 13,805.28 × 3,283.82
  4. Step 4: Simplify right side
    9,208.16x = 45,334,054.57
  5. Step 5: Solve for x
    x = 45,334,054.57/9,208.16
  6. Step 6: Final answer
    x = 4,923.25

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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.