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Finding the Fourth Proportional to 10,191.69, 14,072.90 and 6,420.92

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Solution

The fourth proportional to 10,191.69, 14,072.90 and 6,420.92 is: 8,866.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.69 : 14,072.90 = 6,420.92 : x
  2. Step 2: Convert to fraction form
    10,191.69/14,072.90 = 6,420.92/x
  3. Step 3: Cross multiply
    10,191.69x = 14,072.90 × 6,420.92
  4. Step 4: Simplify right side
    10,191.69x = 90,360,862.60
  5. Step 5: Solve for x
    x = 90,360,862.60/10,191.69
  6. Step 6: Final answer
    x = 8,866.13

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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.