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Finding the Fourth Proportional to 9,884.33, 13,640.43 and 5,577.46

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Solution

The fourth proportional to 9,884.33, 13,640.43 and 5,577.46 is: 7,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.33 : 13,640.43 = 5,577.46 : x
  2. Step 2: Convert to fraction form
    9,884.33/13,640.43 = 5,577.46/x
  3. Step 3: Cross multiply
    9,884.33x = 13,640.43 × 5,577.46
  4. Step 4: Simplify right side
    9,884.33x = 76,078,952.71
  5. Step 5: Solve for x
    x = 76,078,952.71/9,884.33
  6. Step 6: Final answer
    x = 7,696.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.