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Finding the Fourth Proportional to 9,166.65, 13,728.46 and 4,471.95

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Solution

The fourth proportional to 9,166.65, 13,728.46 and 4,471.95 is: 6,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.65 : 13,728.46 = 4,471.95 : x
  2. Step 2: Convert to fraction form
    9,166.65/13,728.46 = 4,471.95/x
  3. Step 3: Cross multiply
    9,166.65x = 13,728.46 × 4,471.95
  4. Step 4: Simplify right side
    9,166.65x = 61,392,986.70
  5. Step 5: Solve for x
    x = 61,392,986.70/9,166.65
  6. Step 6: Final answer
    x = 6,697.43

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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.