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Finding the Fourth Proportional to 9,333.76, 12,880.60 and 5,142

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Solution

The fourth proportional to 9,333.76, 12,880.60 and 5,142 is: 7,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.76 : 12,880.60 = 5,142 : x
  2. Step 2: Convert to fraction form
    9,333.76/12,880.60 = 5,142/x
  3. Step 3: Cross multiply
    9,333.76x = 12,880.60 × 5,142
  4. Step 4: Simplify right side
    9,333.76x = 66,232,045.20
  5. Step 5: Solve for x
    x = 66,232,045.20/9,333.76
  6. Step 6: Final answer
    x = 7,095.97

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Why These Related Problems?

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