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Finding the Fourth Proportional to 9,391.43, 12,960.80 and 5,412.80

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Solution

The fourth proportional to 9,391.43, 12,960.80 and 5,412.80 is: 7,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.43 : 12,960.80 = 5,412.80 : x
  2. Step 2: Convert to fraction form
    9,391.43/12,960.80 = 5,412.80/x
  3. Step 3: Cross multiply
    9,391.43x = 12,960.80 × 5,412.80
  4. Step 4: Simplify right side
    9,391.43x = 70,154,126.37
  5. Step 5: Solve for x
    x = 70,154,126.37/9,391.43
  6. Step 6: Final answer
    x = 7,470.02

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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.