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Finding the Fourth Proportional to 9,333.73, 12,878.30 and 5,299.66

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Solution

The fourth proportional to 9,333.73, 12,878.30 and 5,299.66 is: 7,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.73 : 12,878.30 = 5,299.66 : x
  2. Step 2: Convert to fraction form
    9,333.73/12,878.30 = 5,299.66/x
  3. Step 3: Cross multiply
    9,333.73x = 12,878.30 × 5,299.66
  4. Step 4: Simplify right side
    9,333.73x = 68,250,611.38
  5. Step 5: Solve for x
    x = 68,250,611.38/9,333.73
  6. Step 6: Final answer
    x = 7,312.25

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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.