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Finding the Fourth Proportional to 9,611.80, 14,417.70 and 9,247.30

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Solution

The fourth proportional to 9,611.80, 14,417.70 and 9,247.30 is: 13,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.80 : 14,417.70 = 9,247.30 : x
  2. Step 2: Convert to fraction form
    9,611.80/14,417.70 = 9,247.30/x
  3. Step 3: Cross multiply
    9,611.80x = 14,417.70 × 9,247.30
  4. Step 4: Simplify right side
    9,611.80x = 133,324,797.21
  5. Step 5: Solve for x
    x = 133,324,797.21/9,611.80
  6. Step 6: Final answer
    x = 13,870.95

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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.