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Finding the Fourth Proportional to 9,665.15, 14,499.54 and 3,089.57

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Solution

The fourth proportional to 9,665.15, 14,499.54 and 3,089.57 is: 4,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.15 : 14,499.54 = 3,089.57 : x
  2. Step 2: Convert to fraction form
    9,665.15/14,499.54 = 3,089.57/x
  3. Step 3: Cross multiply
    9,665.15x = 14,499.54 × 3,089.57
  4. Step 4: Simplify right side
    9,665.15x = 44,797,343.80
  5. Step 5: Solve for x
    x = 44,797,343.80/9,665.15
  6. Step 6: Final answer
    x = 4,634.94

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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.