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Finding the Fourth Proportional to 9,429.43, 12,912.02 and 9,057.64

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Solution

The fourth proportional to 9,429.43, 12,912.02 and 9,057.64 is: 12,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.43 : 12,912.02 = 9,057.64 : x
  2. Step 2: Convert to fraction form
    9,429.43/12,912.02 = 9,057.64/x
  3. Step 3: Cross multiply
    9,429.43x = 12,912.02 × 9,057.64
  4. Step 4: Simplify right side
    9,429.43x = 116,952,428.83
  5. Step 5: Solve for x
    x = 116,952,428.83/9,429.43
  6. Step 6: Final answer
    x = 12,402.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.