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Finding the Fourth Proportional to 9,400.66, 14,071.23 and 6,614.42

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Solution

The fourth proportional to 9,400.66, 14,071.23 and 6,614.42 is: 9,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.66 : 14,071.23 = 6,614.42 : x
  2. Step 2: Convert to fraction form
    9,400.66/14,071.23 = 6,614.42/x
  3. Step 3: Cross multiply
    9,400.66x = 14,071.23 × 6,614.42
  4. Step 4: Simplify right side
    9,400.66x = 93,073,025.14
  5. Step 5: Solve for x
    x = 93,073,025.14/9,400.66
  6. Step 6: Final answer
    x = 9,900.69

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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.