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Finding the Fourth Proportional to 9,380.43, 12,946.22 and 5,401.71

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Solution

The fourth proportional to 9,380.43, 12,946.22 and 5,401.71 is: 7,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.43 : 12,946.22 = 5,401.71 : x
  2. Step 2: Convert to fraction form
    9,380.43/12,946.22 = 5,401.71/x
  3. Step 3: Cross multiply
    9,380.43x = 12,946.22 × 5,401.71
  4. Step 4: Simplify right side
    9,380.43x = 69,931,699.03
  5. Step 5: Solve for x
    x = 69,931,699.03/9,380.43
  6. Step 6: Final answer
    x = 7,455.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.