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Finding the Fourth Proportional to 9,484.23, 14,214.83 and 6,711.71

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Solution

The fourth proportional to 9,484.23, 14,214.83 and 6,711.71 is: 10,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.23 : 14,214.83 = 6,711.71 : x
  2. Step 2: Convert to fraction form
    9,484.23/14,214.83 = 6,711.71/x
  3. Step 3: Cross multiply
    9,484.23x = 14,214.83 × 6,711.71
  4. Step 4: Simplify right side
    9,484.23x = 95,405,818.64
  5. Step 5: Solve for x
    x = 95,405,818.64/9,484.23
  6. Step 6: Final answer
    x = 10,059.42

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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.