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Finding the Fourth Proportional to 9,838.89, 14,765.63 and 5,460.03

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Solution

The fourth proportional to 9,838.89, 14,765.63 and 5,460.03 is: 8,194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.89 : 14,765.63 = 5,460.03 : x
  2. Step 2: Convert to fraction form
    9,838.89/14,765.63 = 5,460.03/x
  3. Step 3: Cross multiply
    9,838.89x = 14,765.63 × 5,460.03
  4. Step 4: Simplify right side
    9,838.89x = 80,620,755.47
  5. Step 5: Solve for x
    x = 80,620,755.47/9,838.89
  6. Step 6: Final answer
    x = 8,194.09

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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.