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Finding the Fourth Proportional to 9,946.22, 13,725.94 and 5,470.42

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Solution

The fourth proportional to 9,946.22, 13,725.94 and 5,470.42 is: 7,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.22 : 13,725.94 = 5,470.42 : x
  2. Step 2: Convert to fraction form
    9,946.22/13,725.94 = 5,470.42/x
  3. Step 3: Cross multiply
    9,946.22x = 13,725.94 × 5,470.42
  4. Step 4: Simplify right side
    9,946.22x = 75,086,656.69
  5. Step 5: Solve for x
    x = 75,086,656.69/9,946.22
  6. Step 6: Final answer
    x = 7,549.27

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