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Finding the Fourth Proportional to 9,393.52, 14,092.16 and 4,199.36

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Solution

The fourth proportional to 9,393.52, 14,092.16 and 4,199.36 is: 6,299.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.52 : 14,092.16 = 4,199.36 : x
  2. Step 2: Convert to fraction form
    9,393.52/14,092.16 = 4,199.36/x
  3. Step 3: Cross multiply
    9,393.52x = 14,092.16 × 4,199.36
  4. Step 4: Simplify right side
    9,393.52x = 59,178,053.02
  5. Step 5: Solve for x
    x = 59,178,053.02/9,393.52
  6. Step 6: Final answer
    x = 6,299.88

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