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Finding the Fourth Proportional to 9,553.83, 13,187.03 and 5,777

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Solution

The fourth proportional to 9,553.83, 13,187.03 and 5,777 is: 7,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.83 : 13,187.03 = 5,777 : x
  2. Step 2: Convert to fraction form
    9,553.83/13,187.03 = 5,777/x
  3. Step 3: Cross multiply
    9,553.83x = 13,187.03 × 5,777
  4. Step 4: Simplify right side
    9,553.83x = 76,181,472.31
  5. Step 5: Solve for x
    x = 76,181,472.31/9,553.83
  6. Step 6: Final answer
    x = 7,973.92

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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.