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Finding the Fourth Proportional to 9,588.67, 14,315.74 and 8,112.85

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Solution

The fourth proportional to 9,588.67, 14,315.74 and 8,112.85 is: 12,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.67 : 14,315.74 = 8,112.85 : x
  2. Step 2: Convert to fraction form
    9,588.67/14,315.74 = 8,112.85/x
  3. Step 3: Cross multiply
    9,588.67x = 14,315.74 × 8,112.85
  4. Step 4: Simplify right side
    9,588.67x = 116,141,379.68
  5. Step 5: Solve for x
    x = 116,141,379.68/9,588.67
  6. Step 6: Final answer
    x = 12,112.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.