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Finding the Fourth Proportional to 9,505.09, 14,246.70 and 5,997.70

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Solution

The fourth proportional to 9,505.09, 14,246.70 and 5,997.70 is: 8,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.09 : 14,246.70 = 5,997.70 : x
  2. Step 2: Convert to fraction form
    9,505.09/14,246.70 = 5,997.70/x
  3. Step 3: Cross multiply
    9,505.09x = 14,246.70 × 5,997.70
  4. Step 4: Simplify right side
    9,505.09x = 85,447,432.59
  5. Step 5: Solve for x
    x = 85,447,432.59/9,505.09
  6. Step 6: Final answer
    x = 8,989.65

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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.