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Finding the Fourth Proportional to 9,745.04, 14,600.88 and 8,195.06

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Solution

The fourth proportional to 9,745.04, 14,600.88 and 8,195.06 is: 12,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.04 : 14,600.88 = 8,195.06 : x
  2. Step 2: Convert to fraction form
    9,745.04/14,600.88 = 8,195.06/x
  3. Step 3: Cross multiply
    9,745.04x = 14,600.88 × 8,195.06
  4. Step 4: Simplify right side
    9,745.04x = 119,655,087.65
  5. Step 5: Solve for x
    x = 119,655,087.65/9,745.04
  6. Step 6: Final answer
    x = 12,278.56

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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.