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Finding the Fourth Proportional to 9,402.61, 14,089.08 and 3,471.34

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Solution

The fourth proportional to 9,402.61, 14,089.08 and 3,471.34 is: 5,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.61 : 14,089.08 = 3,471.34 : x
  2. Step 2: Convert to fraction form
    9,402.61/14,089.08 = 3,471.34/x
  3. Step 3: Cross multiply
    9,402.61x = 14,089.08 × 3,471.34
  4. Step 4: Simplify right side
    9,402.61x = 48,907,986.97
  5. Step 5: Solve for x
    x = 48,907,986.97/9,402.61
  6. Step 6: Final answer
    x = 5,201.53

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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.