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Finding the Fourth Proportional to 9,466.05, 14,177.19 and 9,138

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Solution

The fourth proportional to 9,466.05, 14,177.19 and 9,138 is: 13,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.05 : 14,177.19 = 9,138 : x
  2. Step 2: Convert to fraction form
    9,466.05/14,177.19 = 9,138/x
  3. Step 3: Cross multiply
    9,466.05x = 14,177.19 × 9,138
  4. Step 4: Simplify right side
    9,466.05x = 129,551,162.22
  5. Step 5: Solve for x
    x = 129,551,162.22/9,466.05
  6. Step 6: Final answer
    x = 13,685.87

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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.