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Finding the Fourth Proportional to 9,553.90, 13,185.21 and 5,305.78

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Solution

The fourth proportional to 9,553.90, 13,185.21 and 5,305.78 is: 7,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.90 : 13,185.21 = 5,305.78 : x
  2. Step 2: Convert to fraction form
    9,553.90/13,185.21 = 5,305.78/x
  3. Step 3: Cross multiply
    9,553.90x = 13,185.21 × 5,305.78
  4. Step 4: Simplify right side
    9,553.90x = 69,957,823.51
  5. Step 5: Solve for x
    x = 69,957,823.51/9,553.90
  6. Step 6: Final answer
    x = 7,322.44

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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.