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Finding the Fourth Proportional to 9,191.28, 12,677.90 and 7,299.86

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Solution

The fourth proportional to 9,191.28, 12,677.90 and 7,299.86 is: 10,068.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.28 : 12,677.90 = 7,299.86 : x
  2. Step 2: Convert to fraction form
    9,191.28/12,677.90 = 7,299.86/x
  3. Step 3: Cross multiply
    9,191.28x = 12,677.90 × 7,299.86
  4. Step 4: Simplify right side
    9,191.28x = 92,546,945.04
  5. Step 5: Solve for x
    x = 92,546,945.04/9,191.28
  6. Step 6: Final answer
    x = 10,068.99

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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.