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Finding the Fourth Proportional to 9,938.17, 14,909.67 and 3,698.41

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Solution

The fourth proportional to 9,938.17, 14,909.67 and 3,698.41 is: 5,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.17 : 14,909.67 = 3,698.41 : x
  2. Step 2: Convert to fraction form
    9,938.17/14,909.67 = 3,698.41/x
  3. Step 3: Cross multiply
    9,938.17x = 14,909.67 × 3,698.41
  4. Step 4: Simplify right side
    9,938.17x = 55,142,072.62
  5. Step 5: Solve for x
    x = 55,142,072.62/9,938.17
  6. Step 6: Final answer
    x = 5,548.51

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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.