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Finding the Fourth Proportional to 9,639.40, 14,480.70 and 9,245.80

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Solution

The fourth proportional to 9,639.40, 14,480.70 and 9,245.80 is: 13,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.40 : 14,480.70 = 9,245.80 : x
  2. Step 2: Convert to fraction form
    9,639.40/14,480.70 = 9,245.80/x
  3. Step 3: Cross multiply
    9,639.40x = 14,480.70 × 9,245.80
  4. Step 4: Simplify right side
    9,639.40x = 133,885,656.06
  5. Step 5: Solve for x
    x = 133,885,656.06/9,639.40
  6. Step 6: Final answer
    x = 13,889.42

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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.