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Finding the Fourth Proportional to 9,817.77, 13,553.53 and 6,647.82

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Solution

The fourth proportional to 9,817.77, 13,553.53 and 6,647.82 is: 9,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.77 : 13,553.53 = 6,647.82 : x
  2. Step 2: Convert to fraction form
    9,817.77/13,553.53 = 6,647.82/x
  3. Step 3: Cross multiply
    9,817.77x = 13,553.53 × 6,647.82
  4. Step 4: Simplify right side
    9,817.77x = 90,101,360.36
  5. Step 5: Solve for x
    x = 90,101,360.36/9,817.77
  6. Step 6: Final answer
    x = 9,177.37

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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.