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Finding the Fourth Proportional to 9,553.84, 13,194.31 and 6,577.36

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Solution

The fourth proportional to 9,553.84, 13,194.31 and 6,577.36 is: 9,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.84 : 13,194.31 = 6,577.36 : x
  2. Step 2: Convert to fraction form
    9,553.84/13,194.31 = 6,577.36/x
  3. Step 3: Cross multiply
    9,553.84x = 13,194.31 × 6,577.36
  4. Step 4: Simplify right side
    9,553.84x = 86,783,726.82
  5. Step 5: Solve for x
    x = 86,783,726.82/9,553.84
  6. Step 6: Final answer
    x = 9,083.65

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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.