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Finding the Fourth Proportional to 9,666.29, 14,480.20 and 6,369.39

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Solution

The fourth proportional to 9,666.29, 14,480.20 and 6,369.39 is: 9,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.29 : 14,480.20 = 6,369.39 : x
  2. Step 2: Convert to fraction form
    9,666.29/14,480.20 = 6,369.39/x
  3. Step 3: Cross multiply
    9,666.29x = 14,480.20 × 6,369.39
  4. Step 4: Simplify right side
    9,666.29x = 92,230,041.08
  5. Step 5: Solve for x
    x = 92,230,041.08/9,666.29
  6. Step 6: Final answer
    x = 9,541.41

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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.