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Finding the Fourth Proportional to 8,935.67, 13,363.25 and 6,827.93

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Solution

The fourth proportional to 8,935.67, 13,363.25 and 6,827.93 is: 10,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.67 : 13,363.25 = 6,827.93 : x
  2. Step 2: Convert to fraction form
    8,935.67/13,363.25 = 6,827.93/x
  3. Step 3: Cross multiply
    8,935.67x = 13,363.25 × 6,827.93
  4. Step 4: Simplify right side
    8,935.67x = 91,243,234.62
  5. Step 5: Solve for x
    x = 91,243,234.62/8,935.67
  6. Step 6: Final answer
    x = 10,211.13

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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.