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Finding the Fourth Proportional to 10,209.92, 14,090.70 and 6,233.70

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Solution

The fourth proportional to 10,209.92, 14,090.70 and 6,233.70 is: 8,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.92 : 14,090.70 = 6,233.70 : x
  2. Step 2: Convert to fraction form
    10,209.92/14,090.70 = 6,233.70/x
  3. Step 3: Cross multiply
    10,209.92x = 14,090.70 × 6,233.70
  4. Step 4: Simplify right side
    10,209.92x = 87,837,196.59
  5. Step 5: Solve for x
    x = 87,837,196.59/10,209.92
  6. Step 6: Final answer
    x = 8,603.12

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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.