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Finding the Fourth Proportional to 9,104.28, 13,648.86 and 6,336.42

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Solution

The fourth proportional to 9,104.28, 13,648.86 and 6,336.42 is: 9,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.28 : 13,648.86 = 6,336.42 : x
  2. Step 2: Convert to fraction form
    9,104.28/13,648.86 = 6,336.42/x
  3. Step 3: Cross multiply
    9,104.28x = 13,648.86 × 6,336.42
  4. Step 4: Simplify right side
    9,104.28x = 86,484,909.48
  5. Step 5: Solve for x
    x = 86,484,909.48/9,104.28
  6. Step 6: Final answer
    x = 9,499.37

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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.