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Finding the Fourth Proportional to 9,677.37, 13,353.95 and 6,537.81

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Solution

The fourth proportional to 9,677.37, 13,353.95 and 6,537.81 is: 9,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.37 : 13,353.95 = 6,537.81 : x
  2. Step 2: Convert to fraction form
    9,677.37/13,353.95 = 6,537.81/x
  3. Step 3: Cross multiply
    9,677.37x = 13,353.95 × 6,537.81
  4. Step 4: Simplify right side
    9,677.37x = 87,305,555.16
  5. Step 5: Solve for x
    x = 87,305,555.16/9,677.37
  6. Step 6: Final answer
    x = 9,021.62

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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.