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Finding the Fourth Proportional to 9,485.91, 14,228.87 and 5,271.84

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Solution

The fourth proportional to 9,485.91, 14,228.87 and 5,271.84 is: 7,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.91 : 14,228.87 = 5,271.84 : x
  2. Step 2: Convert to fraction form
    9,485.91/14,228.87 = 5,271.84/x
  3. Step 3: Cross multiply
    9,485.91x = 14,228.87 × 5,271.84
  4. Step 4: Simplify right side
    9,485.91x = 75,012,299.66
  5. Step 5: Solve for x
    x = 75,012,299.66/9,485.91
  6. Step 6: Final answer
    x = 7,907.76

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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.