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Finding the Fourth Proportional to 9,333.98, 12,880.92 and 5,142.23

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Solution

The fourth proportional to 9,333.98, 12,880.92 and 5,142.23 is: 7,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.98 : 12,880.92 = 5,142.23 : x
  2. Step 2: Convert to fraction form
    9,333.98/12,880.92 = 5,142.23/x
  3. Step 3: Cross multiply
    9,333.98x = 12,880.92 × 5,142.23
  4. Step 4: Simplify right side
    9,333.98x = 66,236,728.89
  5. Step 5: Solve for x
    x = 66,236,728.89/9,333.98
  6. Step 6: Final answer
    x = 7,096.30

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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.