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Finding the Fourth Proportional to 9,391.74, 12,960.20 and 5,142.72

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Solution

The fourth proportional to 9,391.74, 12,960.20 and 5,142.72 is: 7,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.74 : 12,960.20 = 5,142.72 : x
  2. Step 2: Convert to fraction form
    9,391.74/12,960.20 = 5,142.72/x
  3. Step 3: Cross multiply
    9,391.74x = 12,960.20 × 5,142.72
  4. Step 4: Simplify right side
    9,391.74x = 66,650,699.29
  5. Step 5: Solve for x
    x = 66,650,699.29/9,391.74
  6. Step 6: Final answer
    x = 7,096.74

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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.