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Finding the Fourth Proportional to 9,938.34, 14,893.62 and 7,470.27

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Solution

The fourth proportional to 9,938.34, 14,893.62 and 7,470.27 is: 11,194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.34 : 14,893.62 = 7,470.27 : x
  2. Step 2: Convert to fraction form
    9,938.34/14,893.62 = 7,470.27/x
  3. Step 3: Cross multiply
    9,938.34x = 14,893.62 × 7,470.27
  4. Step 4: Simplify right side
    9,938.34x = 111,259,362.68
  5. Step 5: Solve for x
    x = 111,259,362.68/9,938.34
  6. Step 6: Final answer
    x = 11,194.96

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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.