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Finding the Fourth Proportional to 9,775.28, 14,638.61 and 6,839.84

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Solution

The fourth proportional to 9,775.28, 14,638.61 and 6,839.84 is: 10,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.28 : 14,638.61 = 6,839.84 : x
  2. Step 2: Convert to fraction form
    9,775.28/14,638.61 = 6,839.84/x
  3. Step 3: Cross multiply
    9,775.28x = 14,638.61 × 6,839.84
  4. Step 4: Simplify right side
    9,775.28x = 100,125,750.22
  5. Step 5: Solve for x
    x = 100,125,750.22/9,775.28
  6. Step 6: Final answer
    x = 10,242.75

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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.