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Finding the Fourth Proportional to 9,750.89, 14,628.16 and 3,907.96

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Solution

The fourth proportional to 9,750.89, 14,628.16 and 3,907.96 is: 5,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.89 : 14,628.16 = 3,907.96 : x
  2. Step 2: Convert to fraction form
    9,750.89/14,628.16 = 3,907.96/x
  3. Step 3: Cross multiply
    9,750.89x = 14,628.16 × 3,907.96
  4. Step 4: Simplify right side
    9,750.89x = 57,166,191.01
  5. Step 5: Solve for x
    x = 57,166,191.01/9,750.89
  6. Step 6: Final answer
    x = 5,862.66

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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.