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Finding the Fourth Proportional to 9,333.14, 13,957.95 and 8,299.58

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Solution

The fourth proportional to 9,333.14, 13,957.95 and 8,299.58 is: 12,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.14 : 13,957.95 = 8,299.58 : x
  2. Step 2: Convert to fraction form
    9,333.14/13,957.95 = 8,299.58/x
  3. Step 3: Cross multiply
    9,333.14x = 13,957.95 × 8,299.58
  4. Step 4: Simplify right side
    9,333.14x = 115,845,122.66
  5. Step 5: Solve for x
    x = 115,845,122.66/9,333.14
  6. Step 6: Final answer
    x = 12,412.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.