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Finding the Fourth Proportional to 9,606.89, 14,409.82 and 3,686.61

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Solution

The fourth proportional to 9,606.89, 14,409.82 and 3,686.61 is: 5,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.89 : 14,409.82 = 3,686.61 : x
  2. Step 2: Convert to fraction form
    9,606.89/14,409.82 = 3,686.61/x
  3. Step 3: Cross multiply
    9,606.89x = 14,409.82 × 3,686.61
  4. Step 4: Simplify right side
    9,606.89x = 53,123,424.42
  5. Step 5: Solve for x
    x = 53,123,424.42/9,606.89
  6. Step 6: Final answer
    x = 5,529.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.