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Finding the Fourth Proportional to 9,711.99, 14,575.61 and 6,771.15

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Solution

The fourth proportional to 9,711.99, 14,575.61 and 6,771.15 is: 10,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.99 : 14,575.61 = 6,771.15 : x
  2. Step 2: Convert to fraction form
    9,711.99/14,575.61 = 6,771.15/x
  3. Step 3: Cross multiply
    9,711.99x = 14,575.61 × 6,771.15
  4. Step 4: Simplify right side
    9,711.99x = 98,693,607.80
  5. Step 5: Solve for x
    x = 98,693,607.80/9,711.99
  6. Step 6: Final answer
    x = 10,162.04

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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.