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Finding the Fourth Proportional to 10,213.59, 14,094.91 and 6,234.17

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Solution

The fourth proportional to 10,213.59, 14,094.91 and 6,234.17 is: 8,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.59 : 14,094.91 = 6,234.17 : x
  2. Step 2: Convert to fraction form
    10,213.59/14,094.91 = 6,234.17/x
  3. Step 3: Cross multiply
    10,213.59x = 14,094.91 × 6,234.17
  4. Step 4: Simplify right side
    10,213.59x = 87,870,002.39
  5. Step 5: Solve for x
    x = 87,870,002.39/10,213.59
  6. Step 6: Final answer
    x = 8,603.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.